Search a number
-
+
232033201212 = 2231719401149287
BaseRepresentation
bin1101100000011001000…
…0011010110000111100
3211011220210101220121010
43120012100122300330
512300200444414322
6254332232435220
722522666445121
oct3300620326074
9734823356533
10232033201212
118a44a76940a
1238b77548b10
1318b5a9b46c7
14b332588748
15608081d20c
hex360641ac3c

232033201212 has 96 divisors (see below), whose sum is σ = 604938862080. Its totient is φ = 68790988800.

The previous prime is 232033201207. The next prime is 232033201313. The reversal of 232033201212 is 212102330232.

It is a happy number.

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, 1479633 + ... + 1628919.

It is an arithmetic number, because the mean of its divisors is an integer number (6301446480).

Almost surely, 2232033201212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232033201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302469431040).

232033201212 is an abundant number, since it is smaller than the sum of its proper divisors (372905660868).

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

232033201212 is a wasteful number, since it uses less digits than its factorization.

232033201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149731 (or 149729 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232033201212 its reverse (212102330232), we get a palindrome (444135531444).

The spelling of 232033201212 in words is "two hundred thirty-two billion, thirty-three million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 401 646 802 969 1203 1292 1604 1938 2406 3876 4812 6817 7619 13634 15238 20451 22857 27268 30476 40902 45714 81804 91428 129523 149287 259046 298574 388569 447861 518092 597148 777138 895722 1554276 1791444 2537879 2836453 5075758 5672906 7613637 8509359 10151516 11345812 15227274 17018718 30454548 34037436 48219701 59864087 96439402 119728174 144659103 179592261 192878804 239456348 289318206 359184522 578636412 718369044 1017689479 1137417653 2035378958 2274835306 3053068437 3412252959 4070757916 4549670612 6106136874 6824505918 12212273748 13649011836 19336100101 38672200202 58008300303 77344400404 116016600606 232033201212