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232166770440 = 233511247340201
BaseRepresentation
bin1101100000111000110…
…1111100011100001000
3211012021002201221010120
43120032031330130020
512300434143123230
6254353403343240
722526210662563
oct3301615743410
9735232657116
10232166770440
118a5090a8a00
1238bb4221b20
1318b7c57c957
14b3461d74da
15608c404310
hex360e37c708

232166770440 has 192 divisors, whose sum is σ = 781865844480. Its totient is φ = 55085184000.

The previous prime is 232166770403. The next prime is 232166770469. The reversal of 232166770440 is 44077661232.

232166770440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232166770392 and 232166770401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512340 + ... + 852540.

It is an arithmetic number, because the mean of its divisors is an integer number (4072217940).

Almost surely, 2232166770440 is an apocalyptic number.

232166770440 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 232166770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390932922240).

232166770440 is an abundant number, since it is smaller than the sum of its proper divisors (549699074040).

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

232166770440 is a wasteful number, since it uses less digits than its factorization.

232166770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340284 (or 340269 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 232166770440 in words is "two hundred thirty-two billion, one hundred sixty-six million, seven hundred seventy thousand, four hundred forty".