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232230213020 = 225132930799763
BaseRepresentation
bin1101100001000111111…
…1111101010110011100
3211012102112010010222202
43120101333331112130
512301101413304040
6254403551231032
722530611145431
oct3302177752634
9735375103882
10232230213020
118a5409a0293
1239011518478
1318b8c763840
14b3507cdb88
156092c87015
hex3611ffd59c

232230213020 has 48 divisors (see below), whose sum is σ = 543307836960. Its totient is φ = 82789760256.

The previous prime is 232230213013. The next prime is 232230213097. The reversal of 232230213020 is 20312032232.

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 = 232230212983 and 232230213001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15392342 + ... + 15407421.

It is an arithmetic number, because the mean of its divisors is an integer number (11318913270).

Almost surely, 2232230213020 is an apocalyptic number.

232230213020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232230213020 is an abundant number, since it is smaller than the sum of its proper divisors (311077623940).

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

232230213020 is a wasteful number, since it uses less digits than its factorization.

232230213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30799814 (or 30799812 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 232230213020 its reverse (20312032232), we get a palindrome (252542245252).

The spelling of 232230213020 in words is "two hundred thirty-two billion, two hundred thirty million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 30799763 61599526 123199052 153998815 307997630 400396919 615995260 800793838 893193127 1601587676 1786386254 2001984595 3572772508 4003969190 4465965635 8007938380 8931931270 11611510651 17863862540 23223021302 46446042604 58057553255 116115106510 232230213020