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231620397750 = 23353719237367
BaseRepresentation
bin1101011110110110100…
…1101100101010110110
3211010212000122022201000
43113231221230222312
512243324310212000
6254223244544130
722506524616360
oct3275551545266
9733760568630
10231620397750
118a258749025
1238a81252046
1318ac330c4c1
14b2d380dd30
15605947b000
hex35eda6cab6

231620397750 has 768 divisors, whose sum is σ = 797906903040. Its totient is φ = 48666873600.

The previous prime is 231620397737. The next prime is 231620397773. The reversal of 231620397750 is 57793026132.

231620397750 is a `hidden beast` number, since 231 + 6 + 20 + 397 + 7 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 231620397696 and 231620397705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 631118067 + ... + 631118433.

It is an arithmetic number, because the mean of its divisors is an integer number (1038941280).

Almost surely, 2231620397750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231620397750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398953451520).

231620397750 is an abundant number, since it is smaller than the sum of its proper divisors (566286505290).

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

231620397750 is a wasteful number, since it uses less digits than its factorization.

231620397750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 231620397750 in words is "two hundred thirty-one billion, six hundred twenty million, three hundred ninety-seven thousand, seven hundred fifty".