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232122040420 = 22537535918461
BaseRepresentation
bin1101100000101110001…
…1010100000001100100
3211012010222120102002011
43120023203110001210
512300341220243140
6254345124524004
722525125534424
oct3301343240144
9735128512064
10232122040420
118a495927646
1238ba1250604
1318b7321b19a
14b3402b2484
15608851acea
hex360b8d4064

232122040420 has 48 divisors (see below), whose sum is σ = 510076729008. Its totient is φ = 88634856960.

The previous prime is 232122040349. The next prime is 232122040433. The reversal of 232122040420 is 24040221232.

232122040420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1973491776 + 230148548644 = 44424^2 + 479738^2 .

It is a super-2 number, since 2×2321220404202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232122040391 and 232122040400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2920011 + ... + 2998450.

It is an arithmetic number, because the mean of its divisors is an integer number (10626598521).

Almost surely, 2232122040420 is an apocalyptic number.

232122040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232122040420 is an abundant number, since it is smaller than the sum of its proper divisors (277954688588).

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

232122040420 is a wasteful number, since it uses less digits than its factorization.

232122040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918560 (or 5918558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 232122040420 its reverse (24040221232), we get a palindrome (256162261652).

The spelling of 232122040420 in words is "two hundred thirty-two billion, one hundred twenty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 53 74 106 148 185 212 265 370 530 740 1060 1961 3922 7844 9805 19610 39220 5918461 11836922 23673844 29592305 59184610 118369220 218983057 313678433 437966114 627356866 875932228 1094915285 1254713732 1568392165 2189830570 3136784330 4379661140 6273568660 11606102021 23212204042 46424408084 58030510105 116061020210 232122040420