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22116151225 = 52746072
BaseRepresentation
bin10100100110001110…
…011010111110111001
32010002022102220000001
4110212032122332321
5330243213314400
614054321513001
71412026120000
oct244616327671
963068386001
1022116151225
119419a99833
1243527a2761
132115c2c11c
1410db377c37
15896923a6a
hex52639afb9

22116151225 has 45 divisors (see below), whose sum is σ = 32045588367. Its totient is φ = 15140376720.

The previous prime is 22116151217. The next prime is 22116151231. The reversal of 22116151225 is 52215161122.

The square root of 22116151225 is 148715.

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

It can be written as a sum of positive squares in only one way, i.e., 7961814441 + 14154336784 = 89229^2 + 118972^2 .

It is not a de Polignac number, because 22116151225 - 23 = 22116151217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22116151193 and 22116151202.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36434872 + ... + 36435478.

Almost surely, 222116151225 is an apocalyptic number.

22116151225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22116151225 is the 148715-th square number.

22116151225 is the 74358-th centered octagonal number.

It is an amenable number.

22116151225 is a deficient number, since it is larger than the sum of its proper divisors (9929437142).

22116151225 is an frugal number, since it uses more digits than its factorization.

22116151225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 619 counting only the distinct ones).

The product of its digits is 2400, while the sum is 28.

The spelling of 22116151225 in words is "twenty-two billion, one hundred sixteen million, one hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 607 1225 1715 2401 3035 4249 8575 12005 15175 21245 29743 60025 106225 148715 208201 368449 743575 1041005 1457407 1842245 2579143 5205025 7287035 9211225 12895715 18054001 36435175 64478575 90270005 126378007 451350025 631890035 884646049 3159450175 4423230245 22116151225