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22534480 = 2452337331
BaseRepresentation
bin101010111110…
…1100101010000
31120101212111101
41111331211100
521232100410
62122554144
7362353123
oct125754520
946355441
1022534480
11117a1541
127668954
13488cc17
142dc83ba
151ea1d3a
hex157d950

22534480 has 80 divisors (see below), whose sum is σ = 56317824. Its totient is φ = 8363520.

The previous prime is 22534471. The next prime is 22534481. The reversal of 22534480 is 8443522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22534481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67915 + ... + 68245.

Almost surely, 222534480 is an apocalyptic number.

22534480 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 22534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158912).

22534480 is an abundant number, since it is smaller than the sum of its proper divisors (33783344).

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

22534480 is a wasteful number, since it uses less digits than its factorization.

22534480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 22534480 is about 4747.0496100209. The cubic root of 22534480 is about 282.4549436065.

The spelling of 22534480 in words is "twenty-two million, five hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 184 185 230 296 331 368 370 460 592 662 740 851 920 1324 1480 1655 1702 1840 2648 2960 3310 3404 4255 5296 6620 6808 7613 8510 12247 13240 13616 15226 17020 24494 26480 30452 34040 38065 48988 60904 61235 68080 76130 97976 121808 122470 152260 195952 244940 281681 304520 489880 563362 609040 979760 1126724 1408405 2253448 2816810 4506896 5633620 11267240 22534480