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232190629440 = 263571117434297
BaseRepresentation
bin1101100000111110100…
…0111101011001000000
3211012022202122002112020
43120033220331121000
512301011300120230
6254400015001440
722526620533420
oct3301750753100
9735282562466
10232190629440
118a520614590
1239000209280
1318b844b46c3
14b349448480
15608e568810
hex360fa3d640

232190629440 has 896 divisors, whose sum is σ = 996042313728. Its totient is φ = 44342968320.

The previous prime is 232190629439. The next prime is 232190629459. The reversal of 232190629440 is 44926091232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 232190629392 and 232190629401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54033372 + ... + 54037668.

It is an arithmetic number, because the mean of its divisors is an integer number (1111654368).

Almost surely, 2232190629440 is an apocalyptic number.

232190629440 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 232190629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498021156864).

232190629440 is an abundant number, since it is smaller than the sum of its proper divisors (763851684288).

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

232190629440 is a wasteful number, since it uses less digits than its factorization.

232190629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 232190629440 in words is "two hundred thirty-two billion, one hundred ninety million, six hundred twenty-nine thousand, four hundred forty".