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232213322200 = 235219223139837
BaseRepresentation
bin1101100001000011111…
…1100001100111011000
3211012101100100000010211
43120100333201213120
512301033102302300
6254402145220504
722530314446156
oct3302077414730
9735340300124
10232213322200
118a532403a32
1239007931734
1318b890cb682
14b34c4743d6
15609154c4ba
hex3610fe19d8

232213322200 has 144 divisors (see below), whose sum is σ = 594585582480. Its totient is φ = 84170085120.

The previous prime is 232213322197. The next prime is 232213322203. The reversal of 232213322200 is 2223312232.

232213322200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232213322197) and next prime (232213322203).

It is a super-2 number, since 2×2322133222002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213322203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1590682 + ... + 1730518.

It is an arithmetic number, because the mean of its divisors is an integer number (4129066545).

Almost surely, 2232213322200 is an apocalyptic number.

232213322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232213322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297292791240).

232213322200 is an abundant number, since it is smaller than the sum of its proper divisors (362372260280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232213322200 is a wasteful number, since it uses less digits than its factorization.

232213322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139914 (or 139886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 232213322200 its reverse (2223312232), we get a palindrome (234436634432).

The spelling of 232213322200 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 361 380 437 460 475 575 722 760 874 920 950 1150 1444 1748 1805 1900 2185 2300 2888 3496 3610 3800 4370 4600 7220 8303 8740 9025 10925 14440 16606 17480 18050 21850 33212 36100 41515 43700 66424 72200 83030 87400 139837 166060 207575 279674 332120 415150 559348 699185 830300 1118696 1398370 1660600 2656903 2796740 3216251 3495925 5313806 5593480 6432502 6991850 10627612 12865004 13284515 13983700 16081255 21255224 25730008 26569030 27967400 32162510 50481157 53138060 61108769 64325020 66422575 80406275 100962314 106276120 122217538 128650040 132845150 160812550 201924628 244435076 252405785 265690300 305543845 321625100 403849256 488870152 504811570 531380600 611087690 643250200 1009623140 1161066611 1222175380 1262028925 1527719225 2019246280 2322133222 2444350760 2524057850 3055438450 4644266444 5048115700 5805333055 6110876900 9288532888 10096231400 11610666110 12221753800 23221332220 29026665275 46442664440 58053330550 116106661100 232213322200