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22914320 = 24511132003
BaseRepresentation
bin101011101101…
…0010100010000
31121010011112112
41113122110100
521331224240
62135044452
7365524412
oct127322420
947104475
1022914320
1111a30960
127810728
134993a90
1430869b2
152029665
hex15da510

22914320 has 80 divisors (see below), whose sum is σ = 62620992. Its totient is φ = 7687680.

The previous prime is 22914319. The next prime is 22914329. The reversal of 22914320 is 2341922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×229143202 = 1050132122124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22914329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10439 + ... + 12441.

Almost surely, 222914320 is an apocalyptic number.

22914320 is a gapful number since it is divisible by the number (20) 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 22914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31310496).

22914320 is an abundant number, since it is smaller than the sum of its proper divisors (39706672).

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

22914320 is a wasteful number, since it uses less digits than its factorization.

22914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 22914320 is about 4786.8904311672. The cubic root of 22914320 is about 284.0331244839.

The spelling of 22914320 in words is "twenty-two million, nine hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2003 2288 2860 4006 5720 8012 10015 11440 16024 20030 22033 26039 32048 40060 44066 52078 80120 88132 104156 110165 130195 160240 176264 208312 220330 260390 286429 352528 416624 440660 520780 572858 881320 1041560 1145716 1432145 1762640 2083120 2291432 2864290 4582864 5728580 11457160 22914320