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14960959225 = 5217214392
BaseRepresentation
bin11011110111011111…
…00001111011111001
31102121122200110210221
431323233201323321
5221120001143400
610512321140041
71036514024632
oct157357417371
942548613727
1014960959225
116388087113
122a9648a621
131545729cc4
14a1cd80889
155c86a1c1a
hex37bbe1ef9

14960959225 has 27 divisors (see below), whose sum is σ = 19720756237. Its totient is φ = 11256894080.

The previous prime is 14960959199. The next prime is 14960959267. The reversal of 14960959225 is 52295906941.

The square root of 14960959225 is 122315.

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 349951849 + 14611007376 = 18707^2 + 120876^2 .

It is not a de Polignac number, because 14960959225 - 29 = 14960958713 is a prime.

It is a super-3 number, since 3×149609592253 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10396056 + ... + 10397494.

Almost surely, 214960959225 is an apocalyptic number.

14960959225 is the 122315-th square number.

14960959225 is the 61158-th centered octagonal number.

It is an amenable number.

14960959225 is a deficient number, since it is larger than the sum of its proper divisors (4759797012).

14960959225 is an frugal number, since it uses more digits than its factorization.

14960959225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 14960959225 in words is "fourteen billion, nine hundred sixty million, nine hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1439 1445 7195 7225 24463 35975 122315 415871 611575 2070721 2079355 10353605 10396775 35202257 51768025 176011285 598438369 880056425 2992191845 14960959225