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231001440 = 25351728309
BaseRepresentation
bin11011100010011…
…00110101100000
3121002200002101220
431301030311200
5433114021230
634531055040
75503323405
oct1561146540
9532602356
10231001440
1110943788a
1265441480
1338b20057
14229722ac
151542ed10
hexdc4cd60

231001440 has 96 divisors (see below), whose sum is σ = 770484960. Its totient is φ = 57974784.

The previous prime is 231001403. The next prime is 231001483. The reversal of 231001440 is 44100132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5995 + ... + 22314.

It is an arithmetic number, because the mean of its divisors is an integer number (8025885).

Almost surely, 2231001440 is an apocalyptic number.

231001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231001440 is an abundant number, since it is smaller than the sum of its proper divisors (539483520).

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

231001440 is a wasteful number, since it uses less digits than its factorization.

231001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28344 (or 28336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 231001440 is about 15198.7315260189. The cubic root of 231001440 is about 613.5805189334.

Adding to 231001440 its reverse (44100132), we get a palindrome (275101572).

The spelling of 231001440 in words is "two hundred thirty-one million, one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 28309 56618 84927 113236 141545 169854 226472 283090 339708 424635 452944 481253 566180 679416 849270 905888 962506 1132360 1358832 1443759 1698540 1925012 2264720 2406265 2717664 2887518 3397080 3850024 4529440 4812530 5775036 6794160 7218795 7700048 9625060 11550072 13588320 14437590 15400096 19250120 23100144 28875180 38500240 46200288 57750360 77000480 115500720 231001440