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232120400420 = 225191492340933
BaseRepresentation
bin1101100000101101110…
…1000011101000100100
3211012010212111002102102
43120023131003220210
512300340310303140
6254345025431232
722525105564166
oct3301335035044
9735125432372
10232120400420
118a494a07477
1238ba079b518
1318b72a9587c
14b33dda6936
1560882e4e15
hex360b743a24

232120400420 has 48 divisors (see below), whose sum is σ = 513155173440. Its totient is φ = 87953371776.

The previous prime is 232120400399. The next prime is 232120400461. The reversal of 232120400420 is 24004021232.

It is a super-2 number, since 2×2321204004202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232120400392 and 232120400401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5650274 + ... + 5691206.

It is an arithmetic number, because the mean of its divisors is an integer number (10690732780).

Almost surely, 2232120400420 is an apocalyptic number.

232120400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232120400420 is an abundant number, since it is smaller than the sum of its proper divisors (281034773020).

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

232120400420 is a wasteful number, since it uses less digits than its factorization.

232120400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55884 (or 55882 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 232120400420 its reverse (24004021232), we get a palindrome (256124421652).

The spelling of 232120400420 in words is "two hundred thirty-two billion, one hundred twenty million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 14923 29846 40933 59692 74615 81866 149230 163732 204665 283537 298460 409330 567074 777727 818660 1134148 1417685 1555454 2835370 3110908 3888635 5670740 7777270 15554540 610843159 1221686318 2443372636 3054215795 6108431590 11606020021 12216863180 23212040042 46424080084 58030100105 116060200210 232120400420