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131225088 = 293372309
BaseRepresentation
bin1111101001001…
…01011000000000
3100010220220222110
413310211120000
5232043200323
621004335320
73152252301
oct764453000
9303826873
10131225088
1168089395
1237b44540
13212572a7
14135dc7a8
15b7c1793
hex7d25600

131225088 has 80 divisors (see below), whose sum is σ = 359195760. Its totient is φ = 42541056.

The previous prime is 131225063. The next prime is 131225113. The reversal of 131225088 is 880522131.

It is an interprime number because it is at equal distance from previous prime (131225063) and next prime (131225113).

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 7 ways as a sum of consecutive naturals, for example, 55678 + ... + 57986.

It is an arithmetic number, because the mean of its divisors is an integer number (4489947).

Almost surely, 2131225088 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 131225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179597880).

131225088 is an abundant number, since it is smaller than the sum of its proper divisors (227970672).

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

131225088 is an equidigital number, since it uses as much as digits as its factorization.

131225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 131225088 is about 11455.3519369769. The cubic root of 131225088 is about 508.1660234002.

The spelling of 131225088 in words is "one hundred thirty-one million, two hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2309 2368 3552 4618 4736 6927 7104 9236 9472 13854 14208 18472 18944 27708 28416 36944 55416 56832 73888 85433 110832 147776 170866 221664 256299 295552 341732 443328 512598 591104 683464 886656 1025196 1182208 1366928 1773312 2050392 2733856 3546624 4100784 5467712 8201568 10935424 16403136 21870848 32806272 43741696 65612544 131225088