Search a number
-
+
232275648200 = 23525326432
BaseRepresentation
bin1101100001010010110…
…1010001111011001000
3211012112200121111100012
43120110231101323020
512301200031220300
6254412253131052
722532002301501
oct3302455217310
9735480544305
10232275648200
118a564603422
1239024789a88
1318b98cb126b
14b356859ba8
156096c5e435
hex3614b51ec8

232275648200 has 108 divisors (see below), whose sum is σ = 551279940435. Its totient is φ = 91015466880.

The previous prime is 232275648131. The next prime is 232275648211. The reversal of 232275648200 is 2846572232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 136221522724 + 96054125476 = 369082^2 + 309926^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340790.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361237079 + ... + 361237721.

Almost surely, 2232275648200 is an apocalyptic number.

232275648200 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 232275648200

232275648200 is an abundant number, since it is smaller than the sum of its proper divisors (319004292235).

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

232275648200 is an frugal number, since it uses more digits than its factorization.

232275648200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 232275648200 in words is "two hundred thirty-two billion, two hundred seventy-five million, six hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 643 1060 1286 1325 2120 2572 2650 2809 3215 5144 5300 5618 6430 10600 11236 12860 14045 16075 22472 25720 28090 32150 34079 56180 64300 68158 70225 112360 128600 136316 140450 170395 272632 280900 340790 413449 561800 681580 826898 851975 1363160 1653796 1703950 1806187 2067245 3307592 3407900 3612374 4134490 6815800 7224748 8268980 9030935 10336225 14449496 16537960 18061870 20672450 21912797 36123740 41344900 43825594 45154675 72247480 82689800 87651188 90309350 109563985 175302376 180618700 219127970 361237400 438255940 547819925 876511880 1095639850 1161378241 2191279700 2322756482 4382559400 4645512964 5806891205 9291025928 11613782410 23227564820 29034456025 46455129640 58068912050 116137824100 232275648200