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2273859225 = 3252112174
BaseRepresentation
bin1000011110001000…
…0101011010011001
312212110200000110100
42013202011122121
514124101443400
61013344410013
7110230325121
oct20742053231
95773600410
102273859225
11a67597100
12535616909
132a3121941
14177dc5c81
15d495b100
hex87885699

2273859225 has 135 divisors (see below), whose sum is σ = 4756428859. Its totient is φ = 1037625600.

The previous prime is 2273859223. The next prime is 2273859239. The reversal of 2273859225 is 5229583722.

The square root of 2273859225 is 47685.

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

2273859225 is a `hidden beast` number, since 2 + 2 + 7 + 38 + 592 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 247779081 + 2026080144 = 15741^2 + 45012^2 .

It is not a de Polignac number, because 2273859225 - 21 = 2273859223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (604800) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2273859223) 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, 133756417 + ... + 133756433.

Almost surely, 22273859225 is an apocalyptic number.

2273859225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2273859225 is the 47685-th square number.

2273859225 is the 23843-rd centered octagonal number.

It is an amenable number.

2273859225 is an abundant number, since it is smaller than the sum of its proper divisors (2482569634).

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

2273859225 is an equidigital number, since it uses as much as digits as its factorization.

2273859225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The cubic root of 2273859225 is about 1314.9861882727.

The spelling of 2273859225 in words is "two billion, two hundred seventy-three million, eight hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 121 153 165 187 225 255 275 289 363 425 495 561 605 765 825 867 935 1089 1275 1445 1683 1815 2057 2475 2601 2805 3025 3179 3825 4335 4675 4913 5445 6171 7225 8415 9075 9537 10285 13005 14025 14739 15895 18513 21675 24565 27225 28611 30855 34969 42075 44217 47685 51425 54043 65025 73695 79475 83521 92565 104907 122825 143055 154275 162129 174845 221085 238425 250563 270215 314721 368475 417605 462825 486387 524535 594473 715275 751689 810645 874225 918731 1105425 1252815 1351075 1573605 1783419 2088025 2431935 2622675 2756193 2972365 3758445 4053225 4593655 5350257 6264075 7868025 8268579 8917095 10106041 12159675 13780965 14861825 18792225 22968275 26751285 30318123 41342895 44585475 50530205 68904825 90954369 133756425 151590615 206714475 252651025 454771845 757953075 2273859225