Search a number
-
+
231613776400 = 24522234495783
BaseRepresentation
bin1101011110110101000…
…0011100001000010000
3211010211120011220220211
43113231100130020100
512243321111321100
6254222451013504
722506414421216
oct3275520341020
9733746156824
10231613776400
118a254a36336
1238a7ab9a294
1318ac1b31746
14b2d29a8cb6
156058abe1ba
hex35ed41c210

231613776400 has 120 divisors (see below), whose sum is σ = 560289139200. Its totient is φ = 92008734720.

The previous prime is 231613776391. The next prime is 231613776437. The reversal of 231613776400 is 4677316132.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40047909 + ... + 40053691.

It is an arithmetic number, because the mean of its divisors is an integer number (4669076160).

Almost surely, 2231613776400 is an apocalyptic number.

231613776400 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 231613776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280144569600).

231613776400 is an abundant number, since it is smaller than the sum of its proper divisors (328675362800).

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

231613776400 is a wasteful number, since it uses less digits than its factorization.

231613776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 231613776400 in words is "two hundred thirty-one billion, six hundred thirteen million, seven hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 223 400 446 449 892 898 1115 1784 1796 2230 2245 3568 3592 4460 4490 5575 5783 7184 8920 8980 11150 11225 11566 17840 17960 22300 22450 23132 28915 35920 44600 44900 46264 57830 89200 89800 92528 100127 115660 144575 179600 200254 231320 289150 400508 462640 500635 578300 801016 1001270 1156600 1289609 1602032 2002540 2313200 2503175 2579218 2596567 4005080 5006350 5158436 5193134 6448045 8010160 10012700 10316872 10386268 12896090 12982835 20025400 20633744 20772536 25792180 25965670 32240225 40050800 41545072 51584360 51931340 64480450 64914175 103168720 103862680 128960900 129828350 207725360 257921800 259656700 515843600 519313400 579034441 1038626800 1158068882 2316137764 2895172205 4632275528 5790344410 9264551056 11580688820 14475861025 23161377640 28951722050 46322755280 57903444100 115806888200 231613776400