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23066144 = 2517109389
BaseRepresentation
bin101011111111…
…1011000100000
31121101212210122
41113333120200
521401104034
62142215412
7400026143
oct127773040
947355718
1023066144
1112024a32
127884568
134a17c0a
1430c605a
15205962e
hex15ff620

23066144 has 48 divisors (see below), whose sum is σ = 48648600. Its totient is φ = 10727424.

The previous prime is 23066137. The next prime is 23066167. The reversal of 23066144 is 44166032.

It can be written as a sum of positive squares in 4 ways, for example, as 21270544 + 1795600 = 4612^2 + 1340^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59102 + ... + 59490.

Almost surely, 223066144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324300).

23066144 is an abundant number, since it is smaller than the sum of its proper divisors (25582456).

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

23066144 is a wasteful number, since it uses less digits than its factorization.

23066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23066144 is about 4802.7225612146. The cubic root of 23066144 is about 284.6590526319.

The spelling of 23066144 in words is "twenty-three million, sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 109 136 218 272 389 436 544 778 872 1556 1744 1853 3112 3488 3706 6224 6613 7412 12448 13226 14824 26452 29648 42401 52904 59296 84802 105808 169604 211616 339208 678416 720817 1356832 1441634 2883268 5766536 11533072 23066144