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22714480 = 245499569
BaseRepresentation
bin101011010100…
…1100001110000
31120202000102001
41112221201300
521303330410
62130503344
7364032655
oct126514160
946660361
1022714480
11119047a8
127734b54
134923b29
143033c2c
151eda33a
hex15a9870

22714480 has 40 divisors (see below), whose sum is σ = 53010000. Its totient is φ = 9051648.

The previous prime is 22714459. The next prime is 22714493. The reversal of 22714480 is 8441722.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39636 + ... + 40204.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250).

Almost surely, 222714480 is an apocalyptic number.

22714480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22714480 is an abundant number, since it is smaller than the sum of its proper divisors (30295520).

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

22714480 is a wasteful number, since it uses less digits than its factorization.

22714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 22714480 is about 4765.9710448134. The cubic root of 22714480 is about 283.2050107107.

The spelling of 22714480 in words is "twenty-two million, seven hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 499 569 998 1138 1996 2276 2495 2845 3992 4552 4990 5690 7984 9104 9980 11380 19960 22760 39920 45520 283931 567862 1135724 1419655 2271448 2839310 4542896 5678620 11357240 22714480