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232504250001240 = 233571015155153161
BaseRepresentation
bin110100110111011000011101…
…001110101110011101011000
31010111020012002221111210221110
4310313120131032232131120
5220433322201000014430
62142254551121140320
766654610026553560
oct6467303516563530
91114205087453843
10232504250001240
11680a05538304a8
12220b0a6aa8a6a0
139c97097744a99
14415b3a12b3da0
151bd2e80b337b0
hexd3761d3ae758

232504250001240 has 256 divisors, whose sum is σ = 805080836874240. Its totient is φ = 52615641600000.

The previous prime is 232504250001223. The next prime is 232504250001263. The reversal of 232504250001240 is 42100052405232.

It is a super-2 number, since 2×2325042500012402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232504250001198 and 232504250001207.

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, 4373560260 + ... + 4373613420.

It is an arithmetic number, because the mean of its divisors is an integer number (3144847019040).

Almost surely, 2232504250001240 is an apocalyptic number.

232504250001240 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 232504250001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402540418437120).

232504250001240 is an abundant number, since it is smaller than the sum of its proper divisors (572576586873000).

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

232504250001240 is a wasteful number, since it uses less digits than its factorization.

232504250001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104834 (or 104830 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 232504250001240 in words is "two hundred thirty-two trillion, five hundred four billion, two hundred fifty million, one thousand, two hundred forty".