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228620832 = 253111491453
BaseRepresentation
bin11011010000001…
…11101000100000
3120221012010211020
431220013220200
5432011331312
634404045440
75444150016
oct1550075040
9527163736
10228620832
11108061240
1264693880
13384985cb
14225128b6
151510e78c
hexda07a20

228620832 has 96 divisors (see below), whose sum is σ = 659534400. Its totient is φ = 68766720.

The previous prime is 228620783. The next prime is 228620837. The reversal of 228620832 is 238026822.

228620832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 228620793 and 228620802.

It is not an unprimeable number, because it can be changed into a prime (228620837) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 156618 + ... + 158070.

It is an arithmetic number, because the mean of its divisors is an integer number (6870150).

Almost surely, 2228620832 is an apocalyptic number.

228620832 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 228620832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329767200).

228620832 is an abundant number, since it is smaller than the sum of its proper divisors (430913568).

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

228620832 is a wasteful number, since it uses less digits than its factorization.

228620832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 228620832 is about 15120.2126969167. The cubic root of 228620832 is about 611.4654651675.

The spelling of 228620832 in words is "two hundred twenty-eight million, six hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 149 176 264 298 352 447 528 596 894 1056 1192 1453 1639 1788 2384 2906 3278 3576 4359 4768 4917 5812 6556 7152 8718 9834 11624 13112 14304 15983 17436 19668 23248 26224 31966 34872 39336 46496 47949 52448 63932 69744 78672 95898 127864 139488 157344 191796 216497 255728 383592 432994 511456 649491 767184 865988 1298982 1534368 1731976 2381467 2597964 3463952 4762934 5195928 6927904 7144401 9525868 10391856 14288802 19051736 20783712 28577604 38103472 57155208 76206944 114310416 228620832