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232125831 = 3471929743
BaseRepresentation
bin11011101010111…
…11010110000111
3121011210012210000
431311133112013
5433411011311
635011132343
75516015460
oct1565372607
9534705700
10232125831
1110a035633
12658a40b3
1339124a82
1422b85d67
15155a3056
hexdd5f587

232125831 has 80 divisors (see below), whose sum is σ = 432115200. Its totient is φ = 121165632.

The previous prime is 232125811. The next prime is 232125857. The reversal of 232125831 is 138521232.

232125831 is a nontrivial binomial coefficient, being equal to C(21547, 2).

It is not a de Polignac number, because 232125831 - 27 = 232125703 is a prime.

It is a super-2 number, since 2×2321258312 = 107764802834881122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232125795 and 232125804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232125811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312046 + ... + 312788.

It is an arithmetic number, because the mean of its divisors is an integer number (5401440).

Almost surely, 2232125831 is an apocalyptic number.

232125831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232125831 is the 21546-th triangular number.

232125831 is a deficient number, since it is larger than the sum of its proper divisors (199989369).

232125831 is a wasteful number, since it uses less digits than its factorization.

232125831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 801 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 232125831 is about 15235.6762567337. The cubic root of 232125831 is about 614.5744349150.

The spelling of 232125831 in words is "two hundred thirty-two million, one hundred twenty-five thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 29 57 63 81 87 133 171 189 203 261 399 513 551 567 609 743 783 1197 1539 1653 1827 2229 2349 3591 3857 4959 5201 5481 6687 10773 11571 14117 14877 15603 16443 20061 21547 34713 42351 44631 46809 60183 64641 98819 104139 127053 140427 150829 193923 296457 312417 381159 409393 421281 452487 581769 889371 1143477 1228179 1357461 1745307 2668113 2865751 3684537 4072383 8004339 8597253 11053611 12217149 25791759 33160833 77375277 232125831