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231907840 = 295157577
BaseRepresentation
bin11011101001010…
…10001000000000
3121011101010202021
431310222020000
5433332022330
635002331224
75514120103
oct1564521000
9534333667
10231907840
111099a687a
12657b9b14
1339079798
1422b2a73a
151555d67a
hexdd2a200

231907840 has 80 divisors (see below), whose sum is σ = 560546712. Its totient is φ = 92012544.

The previous prime is 231907811. The next prime is 231907843. The reversal of 231907840 is 48709132.

It can be written as a sum of positive squares in 4 ways, for example, as 220938496 + 10969344 = 14864^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 231907796 and 231907805.

It is not an unprimeable number, because it can be changed into a prime (231907843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401632 + ... + 402208.

Almost surely, 2231907840 is an apocalyptic number.

231907840 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 231907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280273356).

231907840 is an abundant number, since it is smaller than the sum of its proper divisors (328638872).

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

231907840 is an equidigital number, since it uses as much as digits as its factorization.

231907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 231907840 is about 15228.5206110114. The cubic root of 231907840 is about 614.3819909363.

The spelling of 231907840 in words is "two hundred thirty-one million, nine hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 512 577 628 640 785 1154 1256 1280 1570 2308 2512 2560 2885 3140 4616 5024 5770 6280 9232 10048 11540 12560 18464 20096 23080 25120 36928 40192 46160 50240 73856 80384 90589 92320 100480 147712 181178 184640 200960 295424 362356 369280 401920 452945 724712 738560 905890 1449424 1477120 1811780 2898848 3623560 5797696 7247120 11595392 14494240 23190784 28988480 46381568 57976960 115953920 231907840