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223652025 = 32529972
BaseRepresentation
bin11010101010010…
…10100010111001
3120120211200220100
431111022202321
5424223331100
634105350013
75354003502
oct1525124271
9516750810
10223652025
11105278093
1262a98309
1337448a9c
14219bbba9
151497c400
hexd54a8b9

223652025 has 27 divisors (see below), whose sum is σ = 400987821. Its totient is φ = 119161440.

The previous prime is 223652003. The next prime is 223652029. The reversal of 223652025 is 520256322.

The square root of 223652025 is 14955.

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

223652025 is a `hidden beast` number, since 2 + 2 + 3 + 652 + 0 + 2 + 5 = 666.

223652025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14907321 + 208744704 = 3861^2 + 14448^2 .

It is not a de Polignac number, because 223652025 - 217 = 223520953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223652025.

It is not an unprimeable number, because it can be changed into a prime (223652029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 223827 + ... + 224823.

Almost surely, 2223652025 is an apocalyptic number.

223652025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223652025 is the 14955-th square number.

223652025 is the 7478-th centered octagonal number.

It is an amenable number.

223652025 is a deficient number, since it is larger than the sum of its proper divisors (177335796).

223652025 is an frugal number, since it uses more digits than its factorization.

223652025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The cubic root of 223652025 is about 607.0031501256.

The spelling of 223652025 in words is "two hundred twenty-three million, six hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 997 2991 4985 8973 14955 24925 44865 74775 224325 994009 2982027 4970045 8946081 14910135 24850225 44730405 74550675 223652025