Search a number
-
+
31015224 = 2334232081
BaseRepresentation
bin111011001010…
…0000100111000
32011100201220000
41312110010320
530414441344
63024433000
7524424252
oct166240470
964321800
1031015224
1116564219
12a478760
13656c106
144194cd2
152ac9a69
hex1d94138

31015224 has 80 divisors (see below), whose sum is σ = 90691920. Its totient is φ = 9884160.

The previous prime is 31015217. The next prime is 31015241. The reversal of 31015224 is 42251013.

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

It is a junction number, because it is equal to n+sod(n) for n = 31015197 and 31015206.

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 19 ways as a sum of consecutive naturals, for example, 13864 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (1133649).

Almost surely, 231015224 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 31015224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45345960).

31015224 is an abundant number, since it is smaller than the sum of its proper divisors (59676696).

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

31015224 is a wasteful number, since it uses less digits than its factorization.

31015224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 31015224 is about 5569.1313505788. The cubic root of 31015224 is about 314.1894808869.

Adding to 31015224 its reverse (42251013), we get a palindrome (73266237).

The spelling of 31015224 in words is "thirty-one million, fifteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2081 2484 3726 4162 4968 6243 7452 8324 12486 14904 16648 18729 24972 37458 47863 49944 56187 74916 95726 112374 143589 149832 168561 191452 224748 287178 337122 382904 430767 449496 574356 674244 861534 1148712 1292301 1348488 1723068 2584602 3446136 3876903 5169204 7753806 10338408 15507612 31015224