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23002231104 = 263282348523
BaseRepresentation
bin10101011011000010…
…100011000101000000
32012101001202102002100
4111123002203011000
5334102032343404
614322253350400
71443005511156
oct253302430500
965331672070
1023002231104
119834183756
12455b498400
132227690848
141182d0d3d6
158e9600d39
hex55b0a3140

23002231104 has 84 divisors (see below), whose sum is σ = 66013214176. Its totient is φ = 7657936128.

The previous prime is 23002231097. The next prime is 23002231127. The reversal of 23002231104 is 40113220032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449787 + ... + 498309.

Almost surely, 223002231104 is an apocalyptic number.

23002231104 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 23002231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33006607088).

23002231104 is an abundant number, since it is smaller than the sum of its proper divisors (43010983072).

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

23002231104 is a wasteful number, since it uses less digits than its factorization.

23002231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49364 (or 49351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23002231104 its reverse (40113220032), we get a palindrome (63115451136).

The spelling of 23002231104 in words is "twenty-three billion, two million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 823 1646 2469 3292 4938 6584 7407 9876 13168 14814 19752 26336 29628 39504 48523 52672 59256 79008 97046 118512 145569 158016 194092 237024 291138 388184 436707 474048 582276 776368 873414 1164552 1552736 1746828 2329104 3105472 3493656 4658208 6987312 9316416 13974624 27949248 39934429 79868858 119803287 159737716 239606574 319475432 359409861 479213148 638950864 718819722 958426296 1277901728 1437639444 1916852592 2555803456 2875278888 3833705184 5750557776 7667410368 11501115552 23002231104