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23046144 = 211311231
BaseRepresentation
bin101011111101…
…0100000000000
31121100212100220
41113322200000
521344434034
62141543040
7366613632
oct127724000
947325326
1023046144
1112010a00
127874a80
134a0ba94
1430bca52
152053749
hex15fa800

23046144 has 144 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 6758400.

The previous prime is 23046137. The next prime is 23046181. The reversal of 23046144 is 44164032.

It is a super-2 number, since 2×230461442 = 1062249506537472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743409 + ... + 743439.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 223046144 is an apocalyptic number.

23046144 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 23046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

23046144 is an abundant number, since it is smaller than the sum of its proper divisors (46667136).

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

23046144 is a wasteful number, since it uses less digits than its factorization.

23046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23046144 is about 4800.6399573390. The cubic root of 23046144 is about 284.5767555747.

It can be divided in two parts, 2304 and 6144, that added together give a palindrome (8448).

The spelling of 23046144 in words is "twenty-three million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 121 124 128 132 176 186 192 242 248 256 264 341 352 363 372 384 484 496 512 528 682 704 726 744 768 968 992 1023 1024 1056 1364 1408 1452 1488 1536 1936 1984 2046 2048 2112 2728 2816 2904 2976 3072 3751 3872 3968 4092 4224 5456 5632 5808 5952 6144 7502 7744 7936 8184 8448 10912 11253 11264 11616 11904 15004 15488 15872 16368 16896 21824 22506 22528 23232 23808 30008 30976 31744 32736 33792 43648 45012 46464 47616 60016 61952 63488 65472 67584 87296 90024 92928 95232 120032 123904 130944 174592 180048 185856 190464 240064 247808 261888 349184 360096 371712 480128 523776 698368 720192 743424 960256 1047552 1440384 1920512 2095104 2880768 3841024 5761536 7682048 11523072 23046144