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228642900 = 223522333271
BaseRepresentation
bin11011010000011…
…01000001010100
3120221020021002120
431220031001110
5432013033100
634404335540
75444301243
oct1550150124
9527207076
10228642900
11108076882
12646a45b0
13384a5675
142251a95a
15151160a0
hexda0d054

228642900 has 72 divisors (see below), whose sum is σ = 664582464. Its totient is φ = 60691200.

The previous prime is 228642899. The next prime is 228642913. The reversal of 228642900 is 9246822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68265 + ... + 71535.

It is an arithmetic number, because the mean of its divisors is an integer number (9230312).

Almost surely, 2228642900 is an apocalyptic number.

228642900 is a gapful number since it is divisible by the number (20) 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 228642900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332291232).

228642900 is an abundant number, since it is smaller than the sum of its proper divisors (435939564).

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

228642900 is a wasteful number, since it uses less digits than its factorization.

228642900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 228642900 is about 15120.9424309466. The cubic root of 228642900 is about 611.4851387694.

The spelling of 228642900 in words is "two hundred twenty-eight million, six hundred forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 2330 2796 3271 3495 4660 5825 6542 6990 9813 11650 13084 13980 16355 17475 19626 23300 32710 34950 39252 49065 65420 69900 81775 98130 163550 196260 245325 327100 490650 762143 981300 1524286 2286429 3048572 3810715 4572858 7621430 9145716 11432145 15242860 19053575 22864290 38107150 45728580 57160725 76214300 114321450 228642900