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229650849961 = 13219121932
BaseRepresentation
bin1101010111100001000…
…0011110000010101001
3210221202202120221001121
43111320100132002221
512230311104144321
6253300010415241
722406651005501
oct3257020360251
9727682527047
10229650849961
1189437a10685
1238611731521
131886b267c00
14b188000a01
155e915d1441
hex357841e0a9

229650849961 has 27 divisors (see below), whose sum is σ = 251285926437. Its totient is φ = 209782909440.

The previous prime is 229650849917. The next prime is 229650849997. The reversal of 229650849961 is 169948056922.

The square root of 229650849961 is 479219.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86630737561 + 143020112400 = 294331^2 + 378180^2 .

It is not a de Polignac number, because 229650849961 - 237 = 92211896489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 229650849961.

It is not an unprimeable number, because it can be changed into a prime (229650849161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1189900681 + ... + 1189900873.

Almost surely, 2229650849961 is an apocalyptic number.

229650849961 is the 479219-th square number.

229650849961 is the 239610-th centered octagonal number.

It is an amenable number.

229650849961 is a deficient number, since it is larger than the sum of its proper divisors (21635076476).

229650849961 is an frugal number, since it uses more digits than its factorization.

229650849961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 229650849961 in words is "two hundred twenty-nine billion, six hundred fifty million, eight hundred forty-nine thousand, nine hundred sixty-one".

Divisors: 1 13 169 191 193 2483 2509 32279 32617 36481 36863 37249 474253 479219 484237 6165289 6229847 6295081 7040833 7114559 91530829 92489267 1189900777 1202360471 1358880769 17665449997 229650849961