Search a number
-
+
33357140 = 2255331469
BaseRepresentation
bin111111100111…
…1110101010100
32022202201101122
41333033311110
532014412030
63150543112
7553350065
oct177176524
968681348
1033357140
1117913793
12b207a98
136bac06b
14460456c
152ddd8e5
hex1fcfd54

33357140 has 24 divisors (see below), whose sum is σ = 71373960. Its totient is φ = 13090688.

The previous prime is 33357133. The next prime is 33357157. The reversal of 33357140 is 4175333.

It can be written as a sum of positive squares in 4 ways, for example, as 5626384 + 27730756 = 2372^2 + 5266^2 .

It is a super-2 number, since 2×333571402 = 2225397577959200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14675 + ... + 16794.

It is an arithmetic number, because the mean of its divisors is an integer number (2973915).

Almost surely, 233357140 is an apocalyptic number.

It is an amenable number.

33357140 is an abundant number, since it is smaller than the sum of its proper divisors (38016820).

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

33357140 is a wasteful number, since it uses less digits than its factorization.

33357140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31531 (or 31529 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 33357140 is about 5775.5640417192. The cubic root of 33357140 is about 321.9063935823.

The spelling of 33357140 in words is "thirty-three million, three hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 31469 62938 125876 157345 314690 629380 1667857 3335714 6671428 8339285 16678570 33357140