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228166536 = 23313799257
BaseRepresentation
bin11011001100110…
…00101110001000
3120220100001122110
431212120232020
5431402312121
634350222320
75440245363
oct1546305610
9526301573
10228166536
11107880994
12644b49a0
13383698b0
14224350da
151506ed76
hexd998b88

228166536 has 64 divisors (see below), whose sum is σ = 622137600. Its totient is φ = 69308928.

The previous prime is 228166507. The next prime is 228166591. The reversal of 228166536 is 635661822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 228166494 and 228166503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20020 + ... + 29276.

It is an arithmetic number, because the mean of its divisors is an integer number (9720900).

Almost surely, 2228166536 is an apocalyptic number.

228166536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228166536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311068800).

228166536 is an abundant number, since it is smaller than the sum of its proper divisors (393971064).

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

228166536 is a wasteful number, since it uses less digits than its factorization.

228166536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9358 (or 9354 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 228166536 is about 15105.1824219372. The cubic root of 228166536 is about 611.0601790966.

The spelling of 228166536 in words is "two hundred twenty-eight million, one hundred sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 4108 6162 8216 9257 12324 18514 24648 27771 37028 55542 74056 111084 120341 222168 240682 361023 481364 722046 731303 962728 1444092 1462606 2193909 2888184 2925212 4387818 5850424 8775636 9506939 17551272 19013878 28520817 38027756 57041634 76055512 114083268 228166536