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131238224 = 24132921757
BaseRepresentation
bin1111101001010…
…00100101010000
3100010221120222222
413310220211100
5232044110344
621004520212
73152335505
oct764504520
9303846888
10131238224
1168098247
1237b50068
1321260270
14136034ac
15b7c55ee
hex7d28950

131238224 has 40 divisors (see below), whose sum is σ = 283289160. Its totient is φ = 58480128.

The previous prime is 131238209. The next prime is 131238227. The reversal of 131238224 is 422832131.

It can be written as a sum of positive squares in 4 ways, for example, as 25806400 + 105431824 = 5080^2 + 10268^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 131238193 and 131238202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131238227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4847 + ... + 16910.

It is an arithmetic number, because the mean of its divisors is an integer number (7082229).

Almost surely, 2131238224 is an apocalyptic number.

It is an amenable number.

131238224 is an abundant number, since it is smaller than the sum of its proper divisors (152050936).

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

131238224 is a wasteful number, since it uses less digits than its factorization.

131238224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21807 (or 21801 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 131238224 is about 11455.9252790859. The cubic root of 131238224 is about 508.1829791167.

The spelling of 131238224 in words is "one hundred thirty-one million, two hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 21757 43514 87028 174056 282841 348112 565682 630953 1131364 1261906 2262728 2523812 4525456 5047624 8202389 10095248 16404778 32809556 65619112 131238224