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231541464 = 23373112557
BaseRepresentation
bin11011100110100…
…00101011011000
3121010200112011210
431303100223120
5433233311324
634550423120
75511033000
oct1563205330
9533615153
10231541464
11109776590
1265661aa0
1338c7baab
1422a73000
15154d9d29
hexdcd0ad8

231541464 has 128 divisors (see below), whose sum is σ = 736704000. Its totient is φ = 60117120.

The previous prime is 231541459. The next prime is 231541493. The reversal of 231541464 is 464145132.

231541464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2315414642 = 107222899102526592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89274 + ... + 91830.

It is an arithmetic number, because the mean of its divisors is an integer number (5755500).

Almost surely, 2231541464 is an apocalyptic number.

231541464 is a gapful number since it is divisible by the number (24) 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 231541464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368352000).

231541464 is an abundant number, since it is smaller than the sum of its proper divisors (505162536).

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

231541464 is a wasteful number, since it uses less digits than its factorization.

231541464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2580 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 231541464 is about 15216.4865852798. The cubic root of 231541464 is about 614.0582797902.

Adding to 231541464 its reverse (464145132), we get a palindrome (695686596).

The spelling of 231541464 in words is "two hundred thirty-one million, five hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2557 2744 3234 3773 4116 4312 5114 6468 7546 7671 8232 10228 11319 12936 15092 15342 17899 20456 22638 28127 30184 30684 35798 45276 53697 56254 61368 71596 84381 90552 107394 112508 125293 143192 168762 196889 214788 225016 250586 337524 375879 393778 429576 501172 590667 675048 751758 787556 877051 1002344 1181334 1378223 1503516 1575112 1754102 2362668 2631153 2756446 3007032 3508204 4134669 4725336 5262306 5512892 7016408 8269338 9647561 10524612 11025784 16538676 19295122 21049224 28942683 33077352 38590244 57885366 77180488 115770732 231541464