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22412044104 = 2334345747521
BaseRepresentation
bin10100110111110111…
…001010011101001000
32010211221012210201120
4110313313022131020
5331344440402404
614143531515240
71422251142312
oct246767123510
963757183646
1022412044104
1195610184aa
1244158b8b20
13216231c678
14112879c7b2
158b28c09d9
hex537dca748

22412044104 has 64 divisors (see below), whose sum is σ = 57459800640. Its totient is φ = 7280824320.

The previous prime is 22412044069. The next prime is 22412044153. The reversal of 22412044104 is 40144021422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447864 + ... + 495384.

It is an arithmetic number, because the mean of its divisors is an integer number (897809385).

Almost surely, 222412044104 is an apocalyptic number.

22412044104 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 22412044104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28729900320).

22412044104 is an abundant number, since it is smaller than the sum of its proper divisors (35047756536).

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

22412044104 is a wasteful number, since it uses less digits than its factorization.

22412044104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48030 (or 48026 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22412044104 its reverse (40144021422), we get a palindrome (62556065526).

The spelling of 22412044104 in words is "twenty-two billion, four hundred twelve million, forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 457 516 914 1032 1371 1828 2742 3656 5484 10968 19651 39302 47521 58953 78604 95042 117906 142563 157208 190084 235812 285126 380168 471624 570252 1140504 2043403 4086806 6130209 8173612 12260418 16347224 21717097 24520836 43434194 49041672 65151291 86868388 130302582 173736776 260605164 521210328 933835171 1867670342 2801505513 3735340684 5603011026 7470681368 11206022052 22412044104