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33213996 = 2233307537
BaseRepresentation
bin111111010110…
…0111000101100
32022111110001000
41332230320230
532000321441
63143520300
7552212544
oct176547054
968443030
1033213996
1117826192
12b159090
136b5bb6a
1445a8324
152db12b6
hex1face2c

33213996 has 24 divisors (see below), whose sum is σ = 86110640. Its totient is φ = 11071296.

The previous prime is 33213979. The next prime is 33213997. The reversal of 33213996 is 69931233.

It is a happy number.

It is a super-2 number, since 2×332139962 = 2206339060576032, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 33213996.

It is not an unprimeable number, because it can be changed into a prime (33213997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153661 + ... + 153876.

Almost surely, 233213996 is an apocalyptic number.

33213996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33213996 is an abundant number, since it is smaller than the sum of its proper divisors (52896644).

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

33213996 is a wasteful number, since it uses less digits than its factorization.

33213996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307550 (or 307542 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 33213996 is about 5763.1585090122. The cubic root of 33213996 is about 321.4452725290.

The spelling of 33213996 in words is "thirty-three million, two hundred thirteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 307537 615074 922611 1230148 1845222 2767833 3690444 5535666 8303499 11071332 16606998 33213996