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228966377773225 = 521249224232
BaseRepresentation
bin110100000011111001100011…
…100111001101100010101001
31010000200222020112202022012011
4310003321203213031202221
5220002341120202220400
62130545411333115521
766141163201032151
oct6403714347154251
91100628215668164
10228966377773225
1166a57106125934
122181b274788ba1
139a9b58a7a7551
144078063425761
151b70e1a9c58ba
hexd03e639cd8a9

228966377773225 has 27 divisors (see below), whose sum is σ = 284263125582693. Its totient is φ = 182950909290240.

The previous prime is 228966377773213. The next prime is 228966377773253. The reversal of 228966377773225 is 522377773669822.

The square root of 228966377773225 is 15131635.

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

228966377773225 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 12224736039321 + 216741641733904 = 3496389^2 + 14722148^2 .

It is not a de Polignac number, because 228966377773225 - 235 = 228932018034857 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, 94497059364 + ... + 94497061786.

Almost surely, 2228966377773225 is an apocalyptic number.

228966377773225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228966377773225 is the 15131635-th square number.

228966377773225 is the 7565818-th centered octagonal number.

It is an amenable number.

228966377773225 is a deficient number, since it is larger than the sum of its proper divisors (55296747809468).

228966377773225 is an frugal number, since it uses more digits than its factorization.

228966377773225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7354 (or 3677 counting only the distinct ones).

The product of its digits is 4480842240, while the sum is 76.

The spelling of 228966377773225 in words is "two hundred twenty-eight trillion, nine hundred sixty-six billion, three hundred seventy-seven million, seven hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 25 1249 2423 6245 12115 31225 60575 1560001 3026327 5870929 7800005 15131635 29354645 39000025 75658175 146773225 3779882423 7332790321 18899412115 36663951605 94497060575 183319758025 9158655110929 45793275554645 228966377773225