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22740768 = 25322812
BaseRepresentation
bin101011010111…
…1111100100000
31120210100110200
41112233330200
521310201033
62131225200
7364202421
oct126577440
946710420
1022740768
1111922526
127748200
134932a9b
14303d648
151ee3013
hex15aff20

22740768 has 54 divisors (see below), whose sum is σ = 64900017. Its totient is φ = 7553280.

The previous prime is 22740761. The next prime is 22740787. The reversal of 22740768 is 86704722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 725904 = 4692^2 + 852^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22740761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80788 + ... + 81068.

Almost surely, 222740768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22740768

22740768 is an abundant number, since it is smaller than the sum of its proper divisors (42159249).

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

22740768 is an equidigital number, since it uses as much as digits as its factorization.

22740768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 22740768 is about 4768.7281323221. The cubic root of 22740768 is about 283.3142218559.

It can be divided in two parts, 227407 and 68, that added together give a triangular number (227475 = T674).

The spelling of 22740768 in words is "twenty-two million, seven hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 843 1124 1686 2248 2529 3372 4496 5058 6744 8992 10116 13488 20232 26976 40464 78961 80928 157922 236883 315844 473766 631688 710649 947532 1263376 1421298 1895064 2526752 2842596 3790128 5685192 7580256 11370384 22740768