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18970930225 = 521341632
BaseRepresentation
bin10001101010110000…
…010110110000110001
31210222010011002220101
4101222300112300301
5302323024231400
612414244512401
71241055150322
oct215260266061
953863132811
1018970930225
118055660735
1238153ab701
131a34430000
14cbd76c449
1576074656a
hex46ac16c31

18970930225 has 45 divisors (see below), whose sum is σ = 25641518343. Its totient is φ = 13923355680.

The previous prime is 18970930183. The next prime is 18970930229. The reversal of 18970930225 is 52203907981.

The square root of 18970930225 is 137735.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18613417761 + 357512464 = 136431^2 + 18908^2 .

It is not a de Polignac number, because 18970930225 - 233 = 10380995633 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18970930229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 116385994 + ... + 116386156.

Almost surely, 218970930225 is an apocalyptic number.

18970930225 is the 137735-th square number.

18970930225 is the 68868-th centered octagonal number.

It is an amenable number.

18970930225 is a deficient number, since it is larger than the sum of its proper divisors (6670588118).

18970930225 is an frugal number, since it uses more digits than its factorization.

18970930225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 18970930225 in words is "eighteen billion, nine hundred seventy million, nine hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 163 169 325 815 845 2119 2197 4075 4225 10595 10985 26569 27547 28561 52975 54925 132845 137735 142805 345397 358111 664225 688675 714025 1726985 1790555 4490161 4655443 8634925 8952775 22450805 23277215 58372093 112254025 116386075 291860465 758837209 1459302325 3794186045 18970930225