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23049144 = 2333176277
BaseRepresentation
bin101011111101…
…1001110111000
31121101000111000
41113323032320
521400033034
62142005000
7366625446
oct127731670
947330430
1023049144
1112013188
127876760
134a10261
1430bdb96
152054599
hex15fb3b8

23049144 has 64 divisors (see below), whose sum is σ = 67802400. Its totient is φ = 7229952.

The previous prime is 23049137. The next prime is 23049149. The reversal of 23049144 is 44194032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23049149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534 + ... + 6810.

Almost surely, 223049144 is an apocalyptic number.

23049144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23049144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33901200).

23049144 is an abundant number, since it is smaller than the sum of its proper divisors (44753256).

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

23049144 is a wasteful number, since it uses less digits than its factorization.

23049144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23049144 is about 4800.9524055129. The cubic root of 23049144 is about 284.5891031678.

The spelling of 23049144 in words is "twenty-three million, forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 6277 12554 18831 25108 37662 50216 56493 75324 106709 112986 150648 169479 213418 225972 320127 338958 426836 451944 640254 677916 853672 960381 1280508 1355832 1920762 2561016 2881143 3841524 5762286 7683048 11524572 23049144