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228522636 = 2232171812063
BaseRepresentation
bin11011001111011…
…11101010001100
3120221000011010100
431213233222030
5432000211021
634402011100
75443260516
oct1547575214
9527004110
10228522636
11107aa4491
1264646a90
13384629c4
14224c8bb6
15150e0626
hexd9efa8c

228522636 has 72 divisors (see below), whose sum is σ = 615311424. Its totient is φ = 71262720.

The previous prime is 228522629. The next prime is 228522649. The reversal of 228522636 is 636225822.

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

It is a self number, because there is not a number n which added to its sum of digits gives 228522636.

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 23 ways as a sum of consecutive naturals, for example, 109741 + ... + 111803.

It is an arithmetic number, because the mean of its divisors is an integer number (8545992).

Almost surely, 2228522636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228522636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307655712).

228522636 is an abundant number, since it is smaller than the sum of its proper divisors (386788788).

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

228522636 is a wasteful number, since it uses less digits than its factorization.

228522636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2266 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 228522636 is about 15116.9651716209. The cubic root of 228522636 is about 611.3779081692.

The spelling of 228522636 in words is "two hundred twenty-eight million, five hundred twenty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 181 204 306 362 543 612 724 1086 1629 2063 2172 3077 3258 4126 6154 6189 6516 8252 9231 12308 12378 18462 18567 24756 27693 35071 36924 37134 55386 70142 74268 105213 110772 140284 210426 315639 373403 420852 631278 746806 1120209 1262556 1493612 2240418 3360627 4480836 6347851 6721254 12695702 13442508 19043553 25391404 38087106 57130659 76174212 114261318 228522636