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33114132 = 22324719571
BaseRepresentation
bin111111001010…
…0100000010100
32022022101001100
41332110200110
531434123012
63141430100
7551315442
oct176244024
968271040
1033114132
1117768157
12b10b330
136b2557c
14457db92
152d918dc
hex1f94814

33114132 has 36 divisors (see below), whose sum is σ = 85490496. Its totient is φ = 10802640.

The previous prime is 33114119. The next prime is 33114157. The reversal of 33114132 is 23141133.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×331141322 = 2193091476226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 11 ways as a sum of consecutive naturals, for example, 8094 + ... + 11477.

It is an arithmetic number, because the mean of its divisors is an integer number (2374736).

Almost surely, 233114132 is an apocalyptic number.

It is an amenable number.

33114132 is an abundant number, since it is smaller than the sum of its proper divisors (52376364).

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

33114132 is a wasteful number, since it uses less digits than its factorization.

33114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19628 (or 19623 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 33114132 is about 5754.4879876493. The cubic root of 33114132 is about 321.1227876256.

Adding to 33114132 its reverse (23141133), we get a palindrome (56255265).

The spelling of 33114132 in words is "thirty-three million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 19571 39142 58713 78284 117426 176139 234852 352278 704556 919837 1839674 2759511 3679348 5519022 8278533 11038044 16557066 33114132