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231978880 = 275753977
BaseRepresentation
bin11011101001110…
…11011110000000
3121011111202012101
431310323132000
5433341311010
635004040144
75514534160
oct1564733600
9534452171
10231978880
11109a45191
1265833054
13390a2c13
1422b485a0
151557473a
hexdd3b780

231978880 has 128 divisors (see below), whose sum is σ = 646418880. Its totient is φ = 77955072.

The previous prime is 231978853. The next prime is 231978881. The reversal of 231978880 is 88879132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 231978880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231978881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236952 + ... + 237928.

Almost surely, 2231978880 is an apocalyptic number.

231978880 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 231978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323209440).

231978880 is an abundant number, since it is smaller than the sum of its proper divisors (414440000).

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

231978880 is an equidigital number, since it uses as much as digits as its factorization.

231978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 231978880 is about 15230.8528979831. The cubic root of 231978880 is about 614.4447187865. Note that the first 3 decimals are identical.

The spelling of 231978880 in words is "two hundred thirty-one million, nine hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 265 280 320 371 424 448 530 560 640 742 848 896 977 1060 1120 1484 1696 1855 1954 2120 2240 2968 3392 3710 3908 4240 4480 4885 5936 6784 6839 7420 7816 8480 9770 11872 13678 14840 15632 16960 19540 23744 27356 29680 31264 33920 34195 39080 47488 51781 54712 59360 62528 68390 78160 103562 109424 118720 125056 136780 156320 207124 218848 237440 258905 273560 312640 362467 414248 437696 517810 547120 625280 724934 828496 875392 1035620 1094240 1449868 1656992 1812335 2071240 2188480 2899736 3313984 3624670 4142480 4376960 5799472 6627968 7249340 8284960 11598944 14498680 16569920 23197888 28997360 33139840 46395776 57994720 115989440 231978880