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223298777025 = 3452105012
BaseRepresentation
bin1100111111110110100…
…1001110111111000001
3210100101002001012010000
43033331221032333001
512124303441331100
6250325415430213
722063360200432
oct3177551167701
9710332035100
10223298777025
118677837a225
123733a385369
131809826b57c
14ab44545489
155c1db00900
hex33fda4efc1

223298777025 has 45 divisors (see below), whose sum is σ = 413665917753. Its totient is φ = 119081340000.

The previous prime is 223298776991. The next prime is 223298777087. The reversal of 223298777025 is 520777892322.

The square root of 223298777025 is 472545.

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 26780340609 + 196518436416 = 163647^2 + 443304^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 223298777025 - 211 = 223298774977 is a prime.

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, 21259275 + ... + 21269775.

Almost surely, 2223298777025 is an apocalyptic number.

223298777025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223298777025 is the 472545-th square number.

223298777025 is the 236273-rd centered octagonal number.

It is an amenable number.

223298777025 is a deficient number, since it is larger than the sum of its proper divisors (190367140728).

223298777025 is an frugal number, since it uses more digits than its factorization.

223298777025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21024 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 223298777025 in words is "two hundred twenty-three billion, two hundred ninety-eight million, seven hundred seventy-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 10501 31503 52505 94509 157515 262525 283527 472545 787575 850581 1417635 2362725 4252905 7088175 21264525 110271001 330813003 551355005 992439009 1654065015 2756775025 2977317027 4962195045 8270325075 8931951081 14886585135 24810975225 44659755405 74432925675 223298777025