Search a number
-
+
232251545152232 = 2319731011371512691
BaseRepresentation
bin110100110011101101000110…
…110110001110101011101000
31010110100000211111202101112022
4310303231012312032223220
5220420202131024332412
62141542515323204012
766630422541023624
oct6463550666165350
91113300744671468
10232251545152232
11680033664a9151
122206baa4676608
139c792c4192328
14414d06b56a184
151bcb5e0627a72
hexd33b46d8eae8

232251545152232 has 128 divisors (see below), whose sum is σ = 472696887542400. Its totient is φ = 106648275456000.

The previous prime is 232251545152229. The next prime is 232251545152271.

232251545152232 is nontrivially palindromic in base 10.

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, 152779007 + ... + 154291697.

It is an arithmetic number, because the mean of its divisors is an integer number (3692944433925).

Almost surely, 2232251545152232 is an apocalyptic number.

It is an amenable number.

232251545152232 is an abundant number, since it is smaller than the sum of its proper divisors (240445342390168).

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

232251545152232 is a wasteful number, since it uses less digits than its factorization.

232251545152232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513027 (or 1513023 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 232251545152232 in words is "two hundred thirty-two trillion, two hundred fifty-one billion, five hundred forty-five million, one hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 19 38 73 76 101 137 146 152 202 274 292 404 548 584 808 1096 1387 1919 2603 2774 3838 5206 5548 7373 7676 10001 10412 11096 13837 14746 15352 20002 20824 27674 29492 40004 55348 58984 80008 110696 140087 190019 262903 280174 380038 525806 560348 760076 1010101 1051612 1120696 1512691 1520152 2020202 2103224 3025382 4040404 6050764 8080808 12101528 19191919 28741129 38383838 57482258 76767676 110426443 114964516 152781791 153535352 207238667 220852886 229929032 305563582 414477334 441705772 611127164 828954668 883411544 1222254328 1657909336 2098102417 2902854029 3937534673 4196204834 5805708058 7875069346 8392409668 11153070743 11611416116 15128422691 15750138692 16784819336 20931105367 22306141486 23222832232 30256845382 31500277384 41862210734 44612282972 60513690764 83724421468 89224565944 121027381528 167448842936 211908344117 287440031129 397691001973 423816688234 574880062258 795382003946 847633376468 1149760124516 1527970691791 1590764007892 1695266752936 2299520249032 3055941383582 3181528015784 6111882767164 12223765534328 29031443144029 58062886288058 116125772576116 232251545152232