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223024785025 = 527210321312
BaseRepresentation
bin1100111110110101010…
…0000010011010000001
3210022122222110221202011
43033231110002122001
512123223321110100
6250242311052521
722053522252100
oct3175524023201
9708588427664
10223024785025
1186647749a59
1237282671141
1318053578723
14ab19dc2037
155c04a2cbba
hex33ed502681

223024785025 has 81 divisors (see below), whose sum is σ = 327354259203. Its totient is φ = 150290431200.

The previous prime is 223024785007. The next prime is 223024785059. The reversal of 223024785025 is 520587420322.

The square root of 223024785025 is 472255.

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

It can be written as a sum of positive squares in only one way, i.e., 80288922609 + 142735862416 = 283353^2 + 377804^2 .

It is not a de Polignac number, because 223024785025 - 213 = 223024776833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1702479210 + ... + 1702479340.

Almost surely, 2223024785025 is an apocalyptic number.

223024785025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223024785025 is the 472255-th square number.

223024785025 is the 236128-th centered octagonal number.

It is an amenable number.

223024785025 is a deficient number, since it is larger than the sum of its proper divisors (104329474178).

223024785025 is an equidigital number, since it uses as much as digits as its factorization.

223024785025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 223024785025 in words is "two hundred twenty-three billion, twenty-four million, seven hundred eighty-five thousand, twenty-five".

Divisors: 1 5 7 25 35 49 103 131 175 245 515 655 721 917 1225 2575 3275 3605 4585 5047 6419 10609 13493 17161 18025 22925 25235 32095 53045 67465 74263 85805 94451 120127 126175 160475 265225 337325 371315 429025 472255 519841 600635 661157 840889 1389779 1767583 1856575 2361275 2599205 3003175 3305785 4204445 6948895 8837915 9728453 12373081 12996025 16528925 21022225 34744475 44189575 48642265 61865405 68099171 86611567 182061049 243211325 309327025 340495855 433057835 910305245 1274427343 1702479275 2165289175 4551526225 6372136715 8920991401 31860683575 44604957005 223024785025