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70812225 = 3452112172
BaseRepresentation
bin1000011100010…
…00001001000001
311221020122010000
410032020021001
5121111442400
611005430213
71516615431
oct416101101
9157218100
1070812225
1136a76300
121b86b369
1311894433
1495942c1
15633b600
hex4388241

70812225 has 135 divisors (see below), whose sum is σ = 153157081. Its totient is φ = 32313600.

The previous prime is 70812223. The next prime is 70812251. The reversal of 70812225 is 52221807.

The square root of 70812225 is 8415.

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 1656369 + 69155856 = 1287^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 70812225 - 21 = 70812223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (70812223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4165417 + ... + 4165433.

Almost surely, 270812225 is an apocalyptic number.

70812225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70812225 is the 8415-th square number.

70812225 is the 4208-th centered octagonal number.

It is an amenable number.

70812225 is an abundant number, since it is smaller than the sum of its proper divisors (82344856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70812225 is a wasteful number, since it uses less digits than its factorization.

70812225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The cubic root of 70812225 is about 413.7164094391.

The spelling of 70812225 in words is "seventy million, eight hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 81 85 99 121 135 153 165 187 225 255 275 289 297 363 405 425 459 495 561 605 675 765 825 867 891 935 1089 1275 1377 1445 1485 1683 1815 2025 2057 2295 2475 2601 2805 3025 3179 3267 3825 4335 4455 4675 5049 5445 6171 6885 7225 7425 7803 8415 9075 9537 9801 10285 11475 13005 14025 15147 15895 16335 18513 21675 22275 23409 25245 27225 28611 30855 34425 34969 39015 42075 47685 49005 51425 55539 65025 75735 79475 81675 85833 92565 104907 117045 126225 143055 154275 166617 174845 195075 238425 245025 257499 277695 314721 378675 429165 462825 524535 585225 715275 833085 874225 944163 1287495 1388475 1573605 2145825 2622675 2832489 4165425 4720815 6437475 7868025 14162445 23604075 70812225