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137224936 = 2317153117
BaseRepresentation
bin10000010110111…
…10001011101000
3100120012202020001
420023132023220
5240112144221
621341112344
73254251462
oct1013361350
9316182201
10137224936
1170507142
1239b586b4
13225781b4
1414321132
15c0a9391
hex82de2e8

137224936 has 8 divisors (see below), whose sum is σ = 257296770. Its totient is φ = 68612464.

The previous prime is 137224933. The next prime is 137224949. The reversal of 137224936 is 639422731.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 33062500 = 10206^2 + 5750^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×1372249363 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137224895 and 137224904.

It is not an unprimeable number, because it can be changed into a prime (137224931) 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 as a sum of consecutive naturals, namely, 8576551 + ... + 8576566.

Almost surely, 2137224936 is an apocalyptic number.

It is an amenable number.

137224936 is a deficient number, since it is larger than the sum of its proper divisors (120071834).

137224936 is a wasteful number, since it uses less digits than its factorization.

137224936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17153123 (or 17153119 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 137224936 is about 11714.3047595664. The cubic root of 137224936 is about 515.7956545187.

The spelling of 137224936 in words is "one hundred thirty-seven million, two hundred twenty-four thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 17153117 34306234 68612468 137224936