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21516489225 = 3252721121272
BaseRepresentation
bin10100000010011110…
…111001001000001001
32001112112001220101100
4110002132321020021
5323031210123400
613515021012013
71361125066200
oct240236711011
961475056340
1021516489225
119141551900
1242059b4009
13204b92133a
14108187c237
1585de71100
hex5027b9209

21516489225 has 243 divisors, whose sum is σ = 49667459751. Its totient is φ = 8871508800.

The previous prime is 21516489223. The next prime is 21516489227. The reversal of 21516489225 is 52298461512.

The square root of 21516489225 is 146685.

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

21516489225 is a `hidden beast` number, since 2 + 1 + 516 + 48 + 92 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (21516489223) and next prime (21516489227).

It can be written as a sum of positive squares in only one way, i.e., 7745936121 + 13770553104 = 88011^2 + 117348^2 .

It is not a de Polignac number, because 21516489225 - 21 = 21516489223 is a prime.

It is a super-2 number, since 2×215164892252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21516489223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 169421112 + ... + 169421238.

Almost surely, 221516489225 is an apocalyptic number.

21516489225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21516489225 is the 146685-th square number.

21516489225 is the 73343-rd centered octagonal number.

It is an amenable number.

21516489225 is an abundant number, since it is smaller than the sum of its proper divisors (28150970526).

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

21516489225 is a wasteful number, since it uses less digits than its factorization.

21516489225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 21516489225 in words is "twenty-one billion, five hundred sixteen million, four hundred eighty-nine thousand, two hundred twenty-five".