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228325536 = 2532792797
BaseRepresentation
bin11011001101111…
…11100010100000
3120220122010202100
431212333202200
5431422404121
634353450400
75441510055
oct1546774240
9526563670
10228325536
1110797a39a
1264570a00
13383c408a
142247702c
15150a2026
hexd9bf8a0

228325536 has 36 divisors (see below), whose sum is σ = 649301562. Its totient is φ = 76108416.

The previous prime is 228325523. The next prime is 228325547. The reversal of 228325536 is 635523822.

228325536 is a `hidden beast` number, since 22 + 83 + 2 + 553 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162715536 + 65610000 = 12756^2 + 8100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 228325536.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 396111 + ... + 396686.

Almost surely, 2228325536 is an apocalyptic number.

It is an amenable number.

228325536 is an abundant number, since it is smaller than the sum of its proper divisors (420976026).

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

228325536 is a wasteful number, since it uses less digits than its factorization.

228325536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792813 (or 792802 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 228325536 is about 15110.4445996801. Note that the first 3 decimals coincide. The cubic root of 228325536 is about 611.2020871524.

The spelling of 228325536 in words is "two hundred twenty-eight million, three hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 792797 1585594 2378391 3171188 4756782 6342376 7135173 9513564 12684752 14270346 19027128 25369504 28540692 38054256 57081384 76108512 114162768 228325536