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22214024304 = 2431722695953
BaseRepresentation
bin10100101100000011…
…110001110001110000
32010100010121100121220
4110230003301301300
5330443242234204
614112135345040
71414325043153
oct245403616160
963303540556
1022214024304
11946a26827a
12437b522180
1321302a97a4
14110a373c9a
158a03081d9
hex52c0f1c70

22214024304 has 120 divisors (see below), whose sum is σ = 61197355440. Its totient is φ = 6942031872.

The previous prime is 22214024303. The next prime is 22214024309. The reversal of 22214024304 is 40342041222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214024303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3728592 + ... + 3734544.

It is an arithmetic number, because the mean of its divisors is an integer number (509977962).

Almost surely, 222214024304 is an apocalyptic number.

22214024304 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 22214024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598677720).

22214024304 is an abundant number, since it is smaller than the sum of its proper divisors (38983331136).

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

22214024304 is a wasteful number, since it uses less digits than its factorization.

22214024304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6244 counting only the distinct ones).

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

Adding to 22214024304 its reverse (40342041222), we get a palindrome (62556065526).

The spelling of 22214024304 in words is "twenty-two billion, two hundred fourteen million, twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 269 272 289 408 538 578 807 816 867 1076 1156 1614 1734 2152 2312 3228 3468 4304 4573 4624 5953 6456 6936 9146 11906 12912 13719 13872 17859 18292 23812 27438 35718 36584 47624 54876 71436 73168 77741 95248 101201 109752 142872 155482 202402 219504 233223 285744 303603 310964 404804 466446 607206 621928 809608 932892 1214412 1243856 1601357 1619216 1720417 1865784 2428824 3202714 3440834 3731568 4804071 4857648 5161251 6405428 6881668 9608142 10322502 12810856 13763336 19216284 20645004 25621712 27223069 27526672 38432568 41290008 54446138 76865136 81669207 82580016 108892276 163338414 217784552 326676828 435569104 462792173 653353656 925584346 1306707312 1388376519 1851168692 2776753038 3702337384 5553506076 7404674768 11107012152 22214024304