Search a number
-
+
23137002 = 23672267
BaseRepresentation
bin101100001000…
…0101011101010
31121112111000000
41120100223222
521410341002
62143523430
7400442550
oct130205352
947474000
1023137002
1112073199
1278b9576
134a41245
143103bd0
15207061c
hex1610aea

23137002 has 56 divisors (see below), whose sum is σ = 59494176. Its totient is φ = 6607656.

The previous prime is 23137001. The next prime is 23137031. The reversal of 23137002 is 20073132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23137001) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 9073 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (1062396).

Almost surely, 223137002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23137002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29747088).

23137002 is an abundant number, since it is smaller than the sum of its proper divisors (36357174).

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

23137002 is an equidigital number, since it uses as much as digits as its factorization.

23137002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 23137002 is about 4810.0937620799. The cubic root of 23137002 is about 284.9502406203.

The spelling of 23137002 in words is "twenty-three million, one hundred thirty-seven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2267 3402 4534 5103 6801 10206 13602 15869 20403 31738 40806 47607 61209 95214 122418 142821 183627 285642 367254 428463 550881 856926 1101762 1285389 1652643 2570778 3305286 3856167 7712334 11568501 23137002