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131226888 = 23313420599
BaseRepresentation
bin1111101001001…
…01110100001000
3100010221000110010
413310211310020
5232043230023
621004351520
73152260452
oct764456410
9303830403
10131226888
116808a781
1237b455a0
1321258060
14135dd2d2
15b7c2093
hex7d25d08

131226888 has 32 divisors (see below), whose sum is σ = 353304000. Its totient is φ = 40377408.

The previous prime is 131226881. The next prime is 131226889. The reversal of 131226888 is 888622131.

It is a super-2 number, since 2×1312268882 = 34440992268329088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131226881) 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 7 ways as a sum of consecutive naturals, for example, 209988 + ... + 210611.

It is an arithmetic number, because the mean of its divisors is an integer number (11040750).

Almost surely, 2131226888 is an apocalyptic number.

It is an amenable number.

131226888 is an abundant number, since it is smaller than the sum of its proper divisors (222077112).

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

131226888 is a wasteful number, since it uses less digits than its factorization.

131226888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420621 (or 420617 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 131226888 is about 11455.4305026044. The cubic root of 131226888 is about 508.1683468753.

The spelling of 131226888 in words is "one hundred thirty-one million, two hundred twenty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 420599 841198 1261797 1682396 2523594 3364792 5047188 5467787 10094376 10935574 16403361 21871148 32806722 43742296 65613444 131226888