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231444320 = 2551924007
BaseRepresentation
bin11011100101110…
…00111101100000
3121010111120220212
431302320331200
5433222204240
634544353252
75510146532
oct1562707540
9533446825
10231444320
1110970a5a8
1265615828
1338c46803
1422a49852
15154bb165
hexdcb8f60

231444320 has 72 divisors (see below), whose sum is σ = 577224144. Its totient is φ = 87683328.

The previous prime is 231444319. The next prime is 231444337. The reversal of 231444320 is 23444132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55757 + ... + 59763.

It is an arithmetic number, because the mean of its divisors is an integer number (8017002).

Almost surely, 2231444320 is an apocalyptic number.

231444320 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 231444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288612072).

231444320 is an abundant number, since it is smaller than the sum of its proper divisors (345779824).

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

231444320 is a wasteful number, since it uses less digits than its factorization.

231444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 231444320 is about 15213.2941863358. The cubic root of 231444320 is about 613.9723910386.

Adding to 231444320 its reverse (23444132), we get a palindrome (254888452).

The spelling of 231444320 in words is "two hundred thirty-one million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1444 1520 1805 2888 3040 3610 4007 5776 7220 8014 11552 14440 16028 20035 28880 32056 40070 57760 64112 76133 80140 128224 152266 160280 304532 320560 380665 609064 641120 761330 1218128 1446527 1522660 2436256 2893054 3045320 5786108 6090640 7232635 11572216 12181280 14465270 23144432 28930540 46288864 57861080 115722160 231444320