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23324000256 = 219324943
BaseRepresentation
bin10101101110001110…
…000000000000000000
32020012111012222101100
4111232032000000000
5340231421002011
614414230134400
71453663505514
oct255616000000
966174188340
1023324000256
119989876677
12462b1b1400
1322792410ab
1411b394c144
159179aed56
hex56e380000

23324000256 has 120 divisors (see below), whose sum is σ = 67394012400. Its totient is φ = 7773093888.

The previous prime is 23324000243. The next prime is 23324000261. The reversal of 23324000256 is 65200042332.

23324000256 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 400 + 0 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4716121 + ... + 4721063.

It is an arithmetic number, because the mean of its divisors is an integer number (561616770).

Almost surely, 223324000256 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 23324000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33697006200).

23324000256 is an abundant number, since it is smaller than the sum of its proper divisors (44070012144).

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

23324000256 is an frugal number, since it uses more digits than its factorization.

23324000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23324000256 its reverse (65200042332), we get a palindrome (88524042588).

The spelling of 23324000256 in words is "twenty-three billion, three hundred twenty-four million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 4943 6144 8192 9216 9886 12288 14829 16384 18432 19772 24576 29658 32768 36864 39544 44487 49152 59316 65536 73728 79088 88974 98304 118632 131072 147456 158176 177948 196608 237264 262144 294912 316352 355896 393216 474528 524288 589824 632704 711792 786432 949056 1179648 1265408 1423584 1572864 1898112 2359296 2530816 2847168 3796224 4718592 5061632 5694336 7592448 10123264 11388672 15184896 20246528 22777344 30369792 40493056 45554688 60739584 80986112 91109376 121479168 161972224 182218752 242958336 323944448 364437504 485916672 647888896 728875008 971833344 1295777792 1457750016 1943666688 2591555584 2915500032 3887333376 5831000064 7774666752 11662000128 23324000256