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232115052090240 = 273551119163193227
BaseRepresentation
bin110100110001101101111111…
…001110100001001110000000
31010102211222112001222102100000
4310301231333032201032000
5220410433111313341430
62141400103255200000
766614521242111444
oct6461557716411600
91112758461872300
10232115052090240
1167a60493750490
1222049551376000
139c694810288a7
1441465dd9c4824
151bc7ca2733e60
hexd31b7f3a1380

232115052090240 has 3072 divisors, whose sum is σ = 969581858918400. Its totient is φ = 52474966179840.

The previous prime is 232115052090211. The next prime is 232115052090287. The reversal of 232115052090240 is 42090250511232.

232115052090240 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 5 + 0 + 520 + 90 + 2 + 40 = 666.

232115052090240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232115052090195 and 232115052090204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1022533269007 + ... + 1022533269233.

It is an arithmetic number, because the mean of its divisors is an integer number (315619094700).

Almost surely, 2232115052090240 is an apocalyptic number.

232115052090240 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 232115052090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484790929459200).

232115052090240 is an abundant number, since it is smaller than the sum of its proper divisors (737466806828160).

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

232115052090240 is a wasteful number, since it uses less digits than its factorization.

232115052090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 232115052090240 in words is "two hundred thirty-two trillion, one hundred fifteen billion, fifty-two million, ninety thousand, two hundred forty".