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33227928 = 2333179049
BaseRepresentation
bin111111011000…
…0010010011000
32022112011011000
41332300102120
532001243203
63144105000
7552301266
oct176602230
968464130
1033227928
11178356a8
12b165160
136b652c6
1445ad436
152db54a3
hex1fb0498

33227928 has 64 divisors (see below), whose sum is σ = 97740000. Its totient is φ = 10423296.

The previous prime is 33227923. The next prime is 33227933. The reversal of 33227928 is 82972233.

It is an interprime number because it is at equal distance from previous prime (33227923) and next prime (33227933).

It is a super-2 number, since 2×332279282 = 2208190398346368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33227892 and 33227901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33227923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853 + ... + 8196.

Almost surely, 233227928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33227928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48870000).

33227928 is an abundant number, since it is smaller than the sum of its proper divisors (64512072).

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

33227928 is a wasteful number, since it uses less digits than its factorization.

33227928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9071 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 33227928 is about 5764.3670944866. The cubic root of 33227928 is about 321.4902109090.

The spelling of 33227928 in words is "thirty-three million, two hundred twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 9049 18098 27147 36196 54294 72392 81441 108588 153833 162882 217176 244323 307666 325764 461499 488646 615332 651528 922998 977292 1230664 1384497 1845996 1954584 2768994 3691992 4153491 5537988 8306982 11075976 16613964 33227928