Search a number
-
+
222472070528 = 2717217833373
BaseRepresentation
bin1100111100110001011…
…1100110010110000000
3210021020110110010222212
43033030113212112000
512121110322224103
6250111404321252
722034031253421
oct3171427462600
9707213403885
10222472070528
1186393758414
1237149543228
1317c95bc7826
14aaa6827648
155bc12507d8
hex33cc5e6580

222472070528 has 96 divisors (see below), whose sum is σ = 471214324560. Its totient is φ = 104603000832.

The previous prime is 222472070521. The next prime is 222472070573. The reversal of 222472070528 is 825070274222.

222472070528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222472070521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65955050 + ... + 65958422.

Almost surely, 2222472070528 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 222472070528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235607162280).

222472070528 is an abundant number, since it is smaller than the sum of its proper divisors (248742254032).

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

222472070528 is a wasteful number, since it uses less digits than its factorization.

222472070528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 41.

The spelling of 222472070528 in words is "two hundred twenty-two billion, four hundred seventy-two million, seventy thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 1783 2176 2312 3373 3566 4624 6746 7132 9248 13492 14264 18496 26984 28528 30311 36992 53968 57056 57341 60622 107936 114112 114682 121244 215872 228224 229364 242488 431744 458728 484976 515287 917456 969952 974797 1030574 1834912 1939904 1949594 2061148 3669824 3879808 3899188 4122296 6014059 7339648 7798376 8244592 12028118 15596752 16489184 24056236 31193504 32978368 48112472 62387008 65956736 96224944 102239003 124774016 192449888 204478006 384899776 408956012 769799552 817912024 1635824048 1738063051 3271648096 3476126102 6543296192 6952252204 13086592384 13904504408 27809008816 55618017632 111236035264 222472070528