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228238032 = 243111922751
BaseRepresentation
bin11011001101010…
…10001011010000
3120220110200201110
431212222023100
5431412104112
634351533320
75440664001
oct1546521320
9526420643
10228238032
1110791a680
126452a240
13383932b9
14224531a8
151508613c
hexd9aa2d0

228238032 has 80 divisors (see below), whose sum is σ = 677099520. Its totient is φ = 65520000.

The previous prime is 228237967. The next prime is 228238111. The reversal of 228238032 is 230832822.

It is a congruent number.

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, 1344 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (8463744).

Almost surely, 2228238032 is an apocalyptic number.

228238032 is a gapful number since it is divisible by the number (22) 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 228238032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338549760).

228238032 is an abundant number, since it is smaller than the sum of its proper divisors (448861488).

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

228238032 is a wasteful number, since it uses less digits than its factorization.

228238032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22792 (or 22786 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 228238032 is about 15107.5488415560. The cubic root of 228238032 is about 611.1239976811.

The spelling of 228238032 in words is "two hundred twenty-eight million, two hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 22751 45502 68253 91004 136506 182008 250261 273012 364016 432269 500522 546024 750783 864538 1001044 1092048 1296807 1501566 1729076 2002088 2593614 3003132 3458152 4004176 4754959 5187228 6006264 6916304 9509918 10374456 12012528 14264877 19019836 20748912 28529754 38039672 57059508 76079344 114119016 228238032