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22038768 = 2432314937
BaseRepresentation
bin101010000010…
…0100011110000
31112110200111200
41110010203300
521120220033
62104211200
7355216653
oct124044360
945420450
1022038768
1111493064
127469b00
1347483bb
142cd989a
151e05013
hex15048f0

22038768 has 60 divisors (see below), whose sum is σ = 63680448. Its totient is φ = 7107840.

The previous prime is 22038767. The next prime is 22038769. The reversal of 22038768 is 86783022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22038767) and next prime (22038769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22038763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1996 + ... + 6932.

Almost surely, 222038768 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 22038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31840224).

22038768 is an abundant number, since it is smaller than the sum of its proper divisors (41641680).

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

22038768 is a wasteful number, since it uses less digits than its factorization.

22038768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 22038768 is about 4694.5466234771. The cubic root of 22038768 is about 280.3684265729.

The spelling of 22038768 in words is "twenty-two million, thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 4937 9874 14811 19748 29622 39496 44433 59244 78992 88866 118488 153047 177732 236976 306094 355464 459141 612188 710928 918282 1224376 1377423 1836564 2448752 2754846 3673128 5509692 7346256 11019384 22038768