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223951225 = 52412732
BaseRepresentation
bin11010101100100…
…11100101111001
3120121101220022211
431112103211321
5424312414400
634120015121
75356361011
oct1526234571
9517356284
10223951225
11105461963
12630014a1
1337522024
1421a58c41
15149dadba
hexd593979

223951225 has 27 divisors (see below), whose sum is σ = 288590439. Its totient is φ = 172396800.

The previous prime is 223951219. The next prime is 223951249. The reversal of 223951225 is 522159322.

The square root of 223951225 is 14965.

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

It can be written as a sum of positive squares in 13 ways, for example, as 219128809 + 4822416 = 14803^2 + 2196^2 .

It is not a de Polignac number, because 223951225 - 27 = 223951097 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, 3067789 + ... + 3067861.

Almost surely, 2223951225 is an apocalyptic number.

223951225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223951225 is the 14965-th square number.

223951225 is the 7483-rd centered octagonal number.

It is an amenable number.

223951225 is a deficient number, since it is larger than the sum of its proper divisors (64639214).

223951225 is an frugal number, since it uses more digits than its factorization.

223951225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The cubic root of 223951225 is about 607.2737109292.

The spelling of 223951225 in words is "two hundred twenty-three million, nine hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 41 73 205 365 1025 1681 1825 2993 5329 8405 14965 26645 42025 74825 122713 133225 218489 613565 1092445 3067825 5462225 8958049 44790245 223951225