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22128050025 = 32524722112
BaseRepresentation
bin10100100110111011…
…110011111101101001
32010010010211102002100
4110212323303331221
5330304240100100
614055424524013
71412232215244
oct244673637551
963103742070
1022128050025
119425786554
124356780609
132118537033
1410dcb9425b
158979c4400
hex526ef3f69

22128050025 has 81 divisors (see below), whose sum is σ = 40687839543. Its totient is φ = 11495786400.

The previous prime is 22128049987. The next prime is 22128050027. The reversal of 22128050025 is 52005082122.

The square root of 22128050025 is 148755.

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., 7966098009 + 14161952016 = 89253^2 + 119004^2 .

It is a de Polignac number, because none of the positive numbers 2k-22128050025 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22128050027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 104872170 + ... + 104872380.

Almost surely, 222128050025 is an apocalyptic number.

22128050025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22128050025 is the 148755-th square number.

22128050025 is the 74378-th centered octagonal number.

It is an amenable number.

22128050025 is a deficient number, since it is larger than the sum of its proper divisors (18559789518).

22128050025 is an equidigital number, since it uses as much as digits as its factorization.

22128050025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 22128050025 in words is "twenty-two billion, one hundred twenty-eight million, fifty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 211 225 235 423 633 705 1055 1175 1899 2115 2209 3165 3525 5275 6627 9495 9917 10575 11045 15825 19881 29751 33135 44521 47475 49585 55225 89253 99405 133563 148755 165675 222605 247925 400689 446265 466099 497025 667815 743775 1113025 1398297 2003445 2092487 2231325 2330495 3339075 4194891 6277461 6991485 10017225 10462435 11652475 18832383 20974455 31387305 34957425 52312175 94161915 98346889 104872275 156936525 295040667 470809575 491734445 885122001 1475203335 2458672225 4425610005 7376016675 22128050025