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131225232 = 24329313041
BaseRepresentation
bin1111101001001…
…01011010010000
3100010220221011210
413310211122100
5232043201412
621004340120
73152252565
oct764453220
9303827153
10131225232
1168089506
1237b44640
1321257388
14135dc86c
15b7c183c
hex7d25690

131225232 has 80 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 40857600.

The previous prime is 131225231. The next prime is 131225251. The reversal of 131225232 is 232522131.

It is a junction number, because it is equal to n+sod(n) for n = 131225199 and 131225208.

It is not an unprimeable number, because it can be changed into a prime (131225231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41632 + ... + 44672.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496).

Almost surely, 2131225232 is an apocalyptic number.

131225232 is a gapful number since it is divisible by the number (12) 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 131225232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

131225232 is an abundant number, since it is smaller than the sum of its proper divisors (230894448).

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

131225232 is a wasteful number, since it uses less digits than its factorization.

131225232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3106 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 131225232 is about 11455.3582222469. The cubic root of 131225232 is about 508.1662092790.

Adding to 131225232 its reverse (232522131), we get a palindrome (363747363).

The spelling of 131225232 in words is "one hundred thirty-one million, two hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 1392 1488 1798 2697 3041 3596 5394 6082 7192 9123 10788 12164 14384 18246 21576 24328 36492 43152 48656 72984 88189 94271 145968 176378 188542 264567 282813 352756 377084 529134 565626 705512 754168 1058268 1131252 1411024 1508336 2116536 2262504 2733859 4233072 4525008 5467718 8201577 10935436 16403154 21870872 32806308 43741744 65612616 131225232