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23009965 = 511273521
BaseRepresentation
bin101011111000…
…1101010101101
31121022000201221
41113301222231
521342304330
62141103341
7366403306
oct127615255
947260657
1023009965
1111a96800
127857b51
1349c8484
1430ad7ad
152047b7a
hex15f1aad

23009965 has 24 divisors (see below), whose sum is σ = 30825144. Its totient is φ = 16473600.

The previous prime is 23009953. The next prime is 23009983. The reversal of 23009965 is 56990032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1359556 + 21650409 = 1166^2 + 4653^2 .

It is not a de Polignac number, because 23009965 - 25 = 23009933 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23009965.

It is a congruent number.

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, 43905 + ... + 44425.

It is an arithmetic number, because the mean of its divisors is an integer number (1284381).

Almost surely, 223009965 is an apocalyptic number.

It is an amenable number.

23009965 is a deficient number, since it is larger than the sum of its proper divisors (7815179).

23009965 is a wasteful number, since it uses less digits than its factorization.

23009965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 23009965 is about 4796.8703338740. The cubic root of 23009965 is about 284.4277632644.

Adding to 23009965 its reverse (56990032), we get a palindrome (79999997).

The spelling of 23009965 in words is "twenty-three million, nine thousand, nine hundred sixty-five".

Divisors: 1 5 11 55 73 121 365 521 605 803 2605 4015 5731 8833 28655 38033 44165 63041 190165 315205 418363 2091815 4601993 23009965