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232023011000 = 235311234012287
BaseRepresentation
bin1101100000010110100…
…1100010111010111000
3211011220002020012020212
43120011221202322320
512300140342323000
6254331230210252
722522514024054
oct3300551427270
9734802205225
10232023011000
118a444a39350
1238b74053988
1318b588573b1
14b331094c64
15607e9a8c35
hex3605a62eb8

232023011000 has 256 divisors, whose sum is σ = 619855441920. Its totient is φ = 80467200000.

The previous prime is 232023010963. The next prime is 232023011083. The reversal of 232023011000 is 110320232.

It is a happy number.

It is a super-2 number, since 2×2320230110002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101451857 + ... + 101454143.

It is an arithmetic number, because the mean of its divisors is an integer number (2421310320).

Almost surely, 2232023011000 is an apocalyptic number.

232023011000 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 232023011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309927720960).

232023011000 is an abundant number, since it is smaller than the sum of its proper divisors (387832430920).

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

232023011000 is a wasteful number, since it uses less digits than its factorization.

232023011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 232023011000 its reverse (110320232), we get a palindrome (232133331232).

The spelling of 232023011000 in words is "two hundred thirty-two billion, twenty-three million, eleven thousand".