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232072271340 = 223571371598649
BaseRepresentation
bin1101100000100010010…
…1011101010111101100
3211012000111220212201220
43120020211131113230
512300241000140330
6254340150103340
722523652521160
oct3301045352754
9735014825656
10232072271340
118a46a824378
1238b8864ab50
1318b65b13c20
14b337838ca0
156083e89710
hex360895d5ec

232072271340 has 192 divisors, whose sum is σ = 811022284800. Its totient is φ = 48274974720.

The previous prime is 232072271317. The next prime is 232072271351. The reversal of 232072271340 is 43172270232.

232072271340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88336 + ... + 686984.

It is an arithmetic number, because the mean of its divisors is an integer number (4224074400).

Almost surely, 2232072271340 is an apocalyptic number.

232072271340 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 232072271340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405511142400).

232072271340 is an abundant number, since it is smaller than the sum of its proper divisors (578950013460).

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

232072271340 is a wasteful number, since it uses less digits than its factorization.

232072271340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598752 (or 598750 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 232072271340 in words is "two hundred thirty-two billion, seventy-two million, two hundred seventy-one thousand, three hundred forty".