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31122220 = 22523292333
BaseRepresentation
bin111011010111…
…0001100101100
32011120011122211
41312232030230
530431402340
63031020204
7525351223
oct166561454
964504584
1031122220
1116627648
12a50a664
1365a8a1c
1441c1cba
152aeb5ea
hex1dae32c

31122220 has 48 divisors (see below), whose sum is σ = 70580160. Its totient is φ = 11492096.

The previous prime is 31122173. The next prime is 31122229. The reversal of 31122220 is 2222113.

It is a self number, because there is not a number n which added to its sum of digits gives 31122220.

It is not an unprimeable number, because it can be changed into a prime (31122229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12174 + ... + 14506.

It is an arithmetic number, because the mean of its divisors is an integer number (1470420).

Almost surely, 231122220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35290080).

31122220 is an abundant number, since it is smaller than the sum of its proper divisors (39457940).

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

31122220 is a wasteful number, since it uses less digits than its factorization.

31122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 31122220 is about 5578.7292459843. The cubic root of 31122220 is about 314.5503620937.

Adding to 31122220 its reverse (2222113), we get a palindrome (33344333).

The spelling of 31122220 in words is "thirty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2333 2668 3335 4666 6670 9332 11665 13340 23330 46660 53659 67657 107318 135314 214636 268295 270628 338285 536590 676570 1073180 1353140 1556111 3112222 6224444 7780555 15561110 31122220