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20123423200 = 255241679157
BaseRepresentation
bin10010101111011100…
…110001000111100000
31220221102202211001101
4102233130301013200
5312203044020300
613124454444144
71311451163206
oct225734610740
956842684041
1020123423200
118597169771
123a97363654
131b8912ca0a
14d8c853076
157cb9eab6a
hex4af7311e0

20123423200 has 144 divisors (see below), whose sum is σ = 51081199344. Its totient is φ = 7734988800.

The previous prime is 20123423191. The next prime is 20123423207. The reversal of 20123423200 is 232432102.

It is a super-2 number, since 2×201234232002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123423207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193022 + ... + 2202178.

It is an arithmetic number, because the mean of its divisors is an integer number (354730551).

Almost surely, 220123423200 is an apocalyptic number.

20123423200 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 20123423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25540599672).

20123423200 is an abundant number, since it is smaller than the sum of its proper divisors (30957776144).

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

20123423200 is a wasteful number, since it uses less digits than its factorization.

20123423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20123423200 its reverse (232432102), we get a palindrome (20355855302).

The spelling of 20123423200 in words is "twenty billion, one hundred twenty-three million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 67 80 82 100 134 160 164 200 205 268 328 335 400 410 536 656 670 800 820 1025 1072 1312 1340 1640 1675 2050 2144 2680 2747 3280 3350 4100 5360 5494 6560 6700 8200 9157 10720 10988 13400 13735 16400 18314 21976 26800 27470 32800 36628 43952 45785 53600 54940 68675 73256 87904 91570 109880 137350 146512 183140 219760 228925 274700 293024 366280 375437 439520 457850 549400 613519 732560 750874 915700 1098800 1227038 1465120 1501748 1831400 1877185 2197600 2454076 3003496 3067595 3662800 3754370 4908152 6006992 6135190 7325600 7508740 9385925 9816304 12013984 12270380 15017480 15337975 18771850 19632608 24540760 25154279 30034960 30675950 37543700 49081520 50308558 60069920 61351900 75087400 98163040 100617116 122703800 125771395 150174800 201234232 245407600 251542790 300349600 402468464 490815200 503085580 628856975 804936928 1006171160 1257713950 2012342320 2515427900 4024684640 5030855800 10061711600 20123423200