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23005314 = 23219137491
BaseRepresentation
bin101011111000…
…0100010000010
31121021210100200
41113300202002
521342132224
62141030030
7366353613
oct127604202
947253320
1023005314
1111a93262
127855316
1349c6317
1430abc0a
1520465c9
hex15f0882

23005314 has 48 divisors (see below), whose sum is σ = 52958880. Its totient is φ = 7197120.

The previous prime is 23005309. The next prime is 23005337. The reversal of 23005314 is 41350032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46609 + ... + 47099.

It is an arithmetic number, because the mean of its divisors is an integer number (1103310).

Almost surely, 223005314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23005314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26479440).

23005314 is an abundant number, since it is smaller than the sum of its proper divisors (29953566).

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

23005314 is a wasteful number, since it uses less digits than its factorization.

23005314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23005314 is about 4796.3855141137. The cubic root of 23005314 is about 284.4085981959.

Adding to 23005314 its reverse (41350032), we get a palindrome (64355346).

The spelling of 23005314 in words is "twenty-three million, five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 411 491 822 982 1233 1473 2466 2603 2946 4419 5206 7809 8838 9329 15618 18658 23427 27987 46854 55974 67267 83961 134534 167922 201801 403602 605403 1210806 1278073 2556146 3834219 7668438 11502657 23005314