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22240423104 = 2634110132789
BaseRepresentation
bin10100101101101000…
…011110110011000000
32010101222021112222020
4110231220132303000
5331022022014404
614114521241440
71415065322454
oct245550366300
963358245866
1022240423104
119483159069
124388333280
1321358c0593
14110da86664
158a27beed9
hex52da1ecc0

22240423104 has 112 divisors (see below), whose sum is σ = 60360824160. Its totient is φ = 7222927360.

The previous prime is 22240423103. The next prime is 22240423123. The reversal of 22240423104 is 40132404222.

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

It is not an unprimeable number, because it can be changed into a prime (22240423103) 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, 7972942 + ... + 7975730.

It is an arithmetic number, because the mean of its divisors is an integer number (538935930).

Almost surely, 222240423104 is an apocalyptic number.

22240423104 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 22240423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30180412080).

22240423104 is an abundant number, since it is smaller than the sum of its proper divisors (38120401056).

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

22240423104 is a wasteful number, since it uses less digits than its factorization.

22240423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22240423104 its reverse (40132404222), we get a palindrome (62372827326).

The spelling of 22240423104 in words is "twenty-two billion, two hundred forty million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1013 1312 1968 2026 2624 2789 3039 3936 4052 5578 6078 7872 8104 8367 11156 12156 16208 16734 22312 24312 32416 33468 41533 44624 48624 64832 66936 83066 89248 97248 114349 124599 133872 166132 178496 194496 228698 249198 267744 332264 343047 457396 498396 535488 664528 686094 914792 996792 1329056 1372188 1829584 1993584 2658112 2744376 2825257 3659168 3987168 5488752 5650514 7318336 7974336 8475771 10977504 11301028 16951542 21955008 22602056 33903084 45204112 67806168 90408224 115835537 135612336 180816448 231671074 271224672 347506611 463342148 542449344 695013222 926684296 1390026444 1853368592 2780052888 3706737184 5560105776 7413474368 11120211552 22240423104