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137224296 = 233211173263
BaseRepresentation
bin10000010110111…
…10000001101000
3100120012201100100
420023132001220
5240112134141
621341105400
73254246556
oct1013360150
9316181310
10137224296
1170506710
1239b58260
1322577b11
1414320bd6
15c0a90b6
hex82de068

137224296 has 48 divisors (see below), whose sum is σ = 405437760. Its totient is φ = 41582880.

The previous prime is 137224277. The next prime is 137224301. The reversal of 137224296 is 692422731.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137224296.

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 11 ways as a sum of consecutive naturals, for example, 85840 + ... + 87423.

It is an arithmetic number, because the mean of its divisors is an integer number (8446620).

Almost surely, 2137224296 is an apocalyptic number.

It is an amenable number.

137224296 is an abundant number, since it is smaller than the sum of its proper divisors (268213464).

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

137224296 is a wasteful number, since it uses less digits than its factorization.

137224296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173286 (or 173279 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 137224296 is about 11714.2774425058. The cubic root of 137224296 is about 515.7948526486.

The spelling of 137224296 in words is "one hundred thirty-seven million, two hundred twenty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 173263 346526 519789 693052 1039578 1386104 1559367 1905893 2079156 3118734 3811786 4158312 5717679 6237468 7623572 11435358 12474936 15247144 17153037 22870716 34306074 45741432 68612148 137224296