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22911363225 = 3252100912
BaseRepresentation
bin10101010101100111…
…111010100010011001
32012010201202211210100
4111111213322202121
5333410302110400
614305250010013
71440523242222
oct252547724231
965121684710
1022911363225
11979795a333
124534b76909
1322118c687a
141174c18249
158e1652100
hex5559fa899

22911363225 has 27 divisors (see below), whose sum is σ = 41040864319. Its totient is φ = 12218182800.

The previous prime is 22911363187. The next prime is 22911363253. The reversal of 22911363225 is 52236311922.

The square root of 22911363225 is 151365.

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

22911363225 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 13 + 632 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8248090761 + 14663272464 = 90819^2 + 121092^2 .

It is not a de Polignac number, because 22911363225 - 227 = 22777145497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22911363225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2265430 + ... + 2275520.

Almost surely, 222911363225 is an apocalyptic number.

22911363225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22911363225 is the 151365-th square number.

22911363225 is the 75683-rd centered octagonal number.

It is an amenable number.

22911363225 is a deficient number, since it is larger than the sum of its proper divisors (18129501094).

22911363225 is an frugal number, since it uses more digits than its factorization.

22911363225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20198 (or 10099 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Multiplying 22911363225 by its sum of digits (36), we get a square (824809076100 = 9081902).

The spelling of 22911363225 in words is "twenty-two billion, nine hundred eleven million, three hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 10091 30273 50455 90819 151365 252275 454095 756825 2270475 101828281 305484843 509141405 916454529 1527424215 2545707025 4582272645 7637121075 22911363225