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131223288 = 23374119051
BaseRepresentation
bin1111101001001…
…00111011111000
3100010220211111210
413310210323320
5232043121123
621004323120
73152244120
oct764447370
9303824453
10131223288
1168087aa9
1237b434a0
1321256521
14135dbc80
15b7c0e93
hex7d24ef8

131223288 has 64 divisors (see below), whose sum is σ = 384088320. Its totient is φ = 36576000.

The previous prime is 131223277. The next prime is 131223293. The reversal of 131223288 is 882322131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (6001380).

Almost surely, 2131223288 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 131223288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192044160).

131223288 is an abundant number, since it is smaller than the sum of its proper divisors (252865032).

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

131223288 is a wasteful number, since it uses less digits than its factorization.

131223288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19108 (or 19104 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 131223288 is about 11455.2733708105. The cubic root of 131223288 is about 508.1636999039.

The spelling of 131223288 in words is "one hundred thirty-one million, two hundred twenty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 19051 38102 57153 76204 114306 133357 152408 228612 266714 400071 457224 533428 781091 800142 1066856 1562182 1600284 2343273 3124364 3200568 4686546 5467637 6248728 9373092 10935274 16402911 18746184 21870548 32805822 43741096 65611644 131223288