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212022230300 = 225217677923563
BaseRepresentation
bin1100010101110110000…
…0100111110100011100
3202021021012020021002022
43011131200213310130
511433210142332200
6241222432115312
721214052136056
oct3053540476434
9667235207068
10212022230300
1181a11026821
1235111995b38
1316cbbc6830a
14a394a488d6
1557adb36885
hex315d827d1c

212022230300 has 144 divisors (see below), whose sum is σ = 500702952960. Its totient is φ = 77630192640.

The previous prime is 212022230293. The next prime is 212022230309. The reversal of 212022230300 is 3032220212.

212022230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120222303002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022230309) 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 47 ways as a sum of consecutive naturals, for example, 8986319 + ... + 9009881.

It is an arithmetic number, because the mean of its divisors is an integer number (3477103840).

Almost surely, 2212022230300 is an apocalyptic number.

212022230300 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 212022230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250351476480).

212022230300 is an abundant number, since it is smaller than the sum of its proper divisors (288680722660).

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

212022230300 is a wasteful number, since it uses less digits than its factorization.

212022230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23740 (or 23733 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 212022230300 its reverse (3032220212), we get a palindrome (215054450512).

The spelling of 212022230300 in words is "two hundred twelve billion, twenty-two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 67 68 79 85 100 134 158 170 268 316 335 340 395 425 670 790 850 1139 1340 1343 1580 1675 1700 1975 2278 2686 3350 3950 4556 5293 5372 5695 6700 6715 7900 10586 11390 13430 21172 22780 23563 26465 26860 28475 33575 47126 52930 56950 67150 89981 94252 105860 113900 117815 132325 134300 179962 235630 264650 359924 400571 449905 471260 529300 589075 801142 899810 1178150 1578721 1602284 1799620 1861477 2002855 2249525 2356300 3157442 3722954 4005710 4499050 6314884 7445908 7893605 8011420 8998100 9307385 10014275 15787210 18614770 20028550 26838257 31574420 31645109 37229540 39468025 40057100 46536925 53676514 63290218 78936050 93073850 107353028 124718959 126580436 134191285 157872100 158225545 186147700 249437918 268382570 316451090 498875836 536765140 623594795 632902180 670956425 791127725 1247189590 1341912850 1582255450 2120222303 2494379180 2683825700 3117973975 3164510900 4240444606 6235947950 8480889212 10601111515 12471895900 21202223030 42404446060 53005557575 106011115150 212022230300