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33801147 = 3216323041
BaseRepresentation
bin1000000011110…
…0001110111011
32100121021110100
42000330032323
532123114042
63204250443
7560206422
oct200741673
970537410
1033801147
1118097336
12b3a0a23
1370061a3
1446bc2b9
152e7a24c
hex203c3bb

33801147 has 12 divisors (see below), whose sum is σ = 49125544. Its totient is φ = 22394880.

The previous prime is 33801127. The next prime is 33801161. The reversal of 33801147 is 74110833.

33801147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33801147 - 28 = 33800891 is a prime.

It is a super-2 number, since 2×338011472 = 2285035077031218, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33801147.

It is not an unprimeable number, because it can be changed into a prime (33801127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10054 + ... + 12987.

Almost surely, 233801147 is an apocalyptic number.

33801147 is a deficient number, since it is larger than the sum of its proper divisors (15324397).

33801147 is a wasteful number, since it uses less digits than its factorization.

33801147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23210 (or 23207 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 33801147 is about 5813.8753856614. The cubic root of 33801147 is about 323.3283698061.

The spelling of 33801147 in words is "thirty-three million, eight hundred one thousand, one hundred forty-seven".

Divisors: 1 3 9 163 489 1467 23041 69123 207369 3755683 11267049 33801147