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23224062148225 = 52269235832
BaseRepresentation
bin1010100011111010001011…
…11110010111111010000001
310001020012100211012020122021
411101331011332113322001
511021000334402220400
6121220553055041441
74614611624065441
oct521750576277201
9101205324166567
1023224062148225
1174442a66a6024
122730b8b510281
13cc603427bb23
145a409cc0c121
152a41a021971a
hex151f45f97e81

23224062148225 has 27 divisors (see below), whose sum is σ = 28913359789353. Its totient is φ = 18505015763040.

The previous prime is 23224062148181. The next prime is 23224062148237. The reversal of 23224062148225 is 52284126042232.

The square root of 23224062148225 is 4819135.

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 8908069960321 + 14315992187904 = 2984639^2 + 3783648^2 .

It is not a de Polignac number, because 23224062148225 - 217 = 23224062017153 is a prime.

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, 6481734784 + ... + 6481738366.

Almost surely, 223224062148225 is an apocalyptic number.

23224062148225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23224062148225 is the 4819135-th square number.

23224062148225 is the 2409568-th centered octagonal number.

It is an amenable number.

23224062148225 is a deficient number, since it is larger than the sum of its proper divisors (5689297641128).

23224062148225 is an frugal number, since it uses more digits than its factorization.

23224062148225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 23224062148225 in words is "twenty-three trillion, two hundred twenty-four billion, sixty-two million, one hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 269 1345 3583 6725 17915 72361 89575 361805 963827 1809025 4819135 12837889 24095675 64189445 259269463 320947225 1296347315 3453392141 6481736575 17266960705 86334803525 928962485929 4644812429645 23224062148225