Search a number
-
+
31130224 = 2423292917
BaseRepresentation
bin111011011000…
…0001001110000
32011120120122021
41312300021300
530432131344
63031121224
7525413446
oct166601160
964516567
1031130224
1116632664
12a513214
1365ac568
1441c4b96
152aedb84
hex1db0270

31130224 has 40 divisors (see below), whose sum is σ = 65129760. Its totient is φ = 14370048.

The previous prime is 31130221. The next prime is 31130233. The reversal of 31130224 is 42203113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31130198 and 31130207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9214 + ... + 12130.

It is an arithmetic number, because the mean of its divisors is an integer number (1628244).

Almost surely, 231130224 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 31130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32564880).

31130224 is an abundant number, since it is smaller than the sum of its proper divisors (33999536).

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

31130224 is a wasteful number, since it uses less digits than its factorization.

31130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31130224 is about 5579.4465675370. The cubic root of 31130224 is about 314.5773250942.

Adding to 31130224 its reverse (42203113), we get a palindrome (73333337).

The spelling of 31130224 in words is "thirty-one million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 2917 5336 5834 10672 11668 23336 46672 67091 84593 134182 169186 268364 338372 536728 676744 1073456 1353488 1945639 3891278 7782556 15565112 31130224