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22790640 = 243594961
BaseRepresentation
bin101011011110…
…0000111110000
31120212212212210
41112330013300
521313300030
62132252120
7364501005
oct126740760
946785783
1022790640
1111956a44
127771040
13494c6b2
1430538ac
152002bb0
hex15bc1f0

22790640 has 40 divisors (see below), whose sum is σ = 70651728. Its totient is φ = 6077440.

The previous prime is 22790639. The next prime is 22790641. The reversal of 22790640 is 4609722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22790639) and next prime (22790641).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22790598 and 22790607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22790641) 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 7 ways as a sum of consecutive naturals, for example, 47241 + ... + 47720.

Almost surely, 222790640 is an apocalyptic number.

22790640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22790640 is an abundant number, since it is smaller than the sum of its proper divisors (47861088).

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

22790640 is a wasteful number, since it uses less digits than its factorization.

22790640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94977 (or 94971 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 22790640 is about 4773.9543357682. The cubic root of 22790640 is about 283.5211795468.

The spelling of 22790640 in words is "twenty-two million, seven hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 94961 189922 284883 379844 474805 569766 759688 949610 1139532 1424415 1519376 1899220 2279064 2848830 3798440 4558128 5697660 7596880 11395320 22790640