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23137533 = 322779281
BaseRepresentation
bin101100001000…
…0110011111101
31121112111201200
41120100303331
521410400113
62143530113
7400444236
oct130206375
947474650
1023137533
1112073631
1278b9939
134a41563
14310408d
152070873
hex1610cfd

23137533 has 12 divisors (see below), whose sum is σ = 33545148. Its totient is φ = 15367680.

The previous prime is 23137529. The next prime is 23137537. The reversal of 23137533 is 33573132.

It is an interprime number because it is at equal distance from previous prime (23137529) and next prime (23137537).

It can be written as a sum of positive squares in 2 ways, for example, as 12659364 + 10478169 = 3558^2 + 3237^2 .

It is not a de Polignac number, because 23137533 - 22 = 23137529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23137497 and 23137506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23137537) 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 11 ways as a sum of consecutive naturals, for example, 2148 + ... + 7133.

It is an arithmetic number, because the mean of its divisors is an integer number (2795429).

Almost surely, 223137533 is an apocalyptic number.

It is an amenable number.

23137533 is a deficient number, since it is larger than the sum of its proper divisors (10407615).

23137533 is a wasteful number, since it uses less digits than its factorization.

23137533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564 (or 9561 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 23137533 is about 4810.1489581925. The cubic root of 23137533 is about 284.9524204968.

The spelling of 23137533 in words is "twenty-three million, one hundred thirty-seven thousand, five hundred thirty-three".

Divisors: 1 3 9 277 831 2493 9281 27843 83529 2570837 7712511 23137533