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227256840 = 2334570141
BaseRepresentation
bin11011000101110…
…10101000001000
3120211121211210000
431202322220020
5431134204330
634314523000
75426436246
oct1542725010
9524554700
10227256840
1110730a478
1264136460
133810b805
1422279796
1514e40560
hexd8baa08

227256840 has 80 divisors (see below), whose sum is σ = 763846380. Its totient is φ = 60600960.

The previous prime is 227256839. The next prime is 227256857. The reversal of 227256840 is 48652722.

227256840 is a `hidden beast` number, since 22 + 72 + 568 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226984356 + 272484 = 15066^2 + 522^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 227256795 and 227256804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31831 + ... + 38310.

Almost surely, 2227256840 is an apocalyptic number.

227256840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

227256840 is an abundant number, since it is smaller than the sum of its proper divisors (536589540).

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

227256840 is a wasteful number, since it uses less digits than its factorization.

227256840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70164 (or 70151 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 227256840 is about 15075.0402984536. The cubic root of 227256840 is about 610.2470020036.

The spelling of 227256840 in words is "two hundred twenty-seven million, two hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 70141 140282 210423 280564 350705 420846 561128 631269 701410 841692 1052115 1262538 1402820 1683384 1893807 2104230 2525076 2805640 3156345 3787614 4208460 5050152 5681421 6312690 7575228 8416920 9469035 11362842 12625380 15150456 18938070 22725684 25250760 28407105 37876140 45451368 56814210 75752280 113628420 227256840