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231346680 = 23353116199
BaseRepresentation
bin11011100101000…
…01000111111000
3121010022121222120
431302201013320
5433211043210
634542321240
75506262055
oct1562410770
9533277876
10231346680
11109653204
1265589220
1338c11236
1422a2202c
151549c270
hexdca11f8

231346680 has 64 divisors (see below), whose sum is σ = 696384000. Its totient is φ = 61484160.

The previous prime is 231346651. The next prime is 231346691. The reversal of 231346680 is 86643132.

231346680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34221 + ... + 40419.

It is an arithmetic number, because the mean of its divisors is an integer number (10881000).

Almost surely, 2231346680 is an apocalyptic number.

231346680 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 231346680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

231346680 is an abundant number, since it is smaller than the sum of its proper divisors (465037320).

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

231346680 is a wasteful number, since it uses less digits than its factorization.

231346680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 231346680 is about 15210.0848123868. The cubic root of 231346680 is about 613.8860395331.

The spelling of 231346680 in words is "two hundred thirty-one million, three hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6199 6220 7464 9330 12398 12440 18597 18660 24796 30995 37194 37320 49592 61990 74388 92985 123980 148776 185970 247960 371940 743880 1927889 3855778 5783667 7711556 9639445 11567334 15423112 19278890 23134668 28918335 38557780 46269336 57836670 77115560 115673340 231346680