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31133220 = 22351393733
BaseRepresentation
bin111011011000…
…0111000100100
32011120201202020
41312300320210
530432230340
63031143140
7525425256
oct166607044
964521666
1031133220
1116634938
12a514ab0
1365b0a31
1441c5cd6
152aee9d0
hex1db0e24

31133220 has 48 divisors (see below), whose sum is σ = 87823680. Its totient is φ = 8240256.

The previous prime is 31133213. The next prime is 31133231. The reversal of 31133220 is 2233113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31133220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6474 + ... + 10206.

It is an arithmetic number, because the mean of its divisors is an integer number (1829660).

Almost surely, 231133220 is an apocalyptic number.

31133220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43911840).

31133220 is an abundant number, since it is smaller than the sum of its proper divisors (56690460).

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

31133220 is a wasteful number, since it uses less digits than its factorization.

31133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 31133220 is about 5579.7150464876. The cubic root of 31133220 is about 314.5874165028.

Adding to 31133220 its reverse (2233113), we get a palindrome (33366333).

The spelling of 31133220 in words is "thirty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 3733 4170 7466 8340 11199 14932 18665 22398 37330 44796 55995 74660 111990 223980 518887 1037774 1556661 2075548 2594435 3113322 5188870 6226644 7783305 10377740 15566610 31133220