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22797072 = 2433113467
BaseRepresentation
bin101011011110…
…1101100010000
31120220012201000
41112331230100
521314001242
62132342000
7364525524
oct126755420
946805630
1022797072
1111960861
127774900
1349525bc
143055d84
152004a4c
hex15bdb10

22797072 has 80 divisors (see below), whose sum is σ = 66156480. Its totient is φ = 7515648.

The previous prime is 22797053. The next prime is 22797079. The reversal of 22797072 is 27079722.

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 (22797079) 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, 48583 + ... + 49049.

It is an arithmetic number, because the mean of its divisors is an integer number (826956).

Almost surely, 222797072 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 22797072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078240).

22797072 is an abundant number, since it is smaller than the sum of its proper divisors (43359408).

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

22797072 is a wasteful number, since it uses less digits than its factorization.

22797072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 22797072 is about 4774.6279436203. The cubic root of 22797072 is about 283.5478489265.

The spelling of 22797072 in words is "twenty-two million, seven hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 467 678 904 934 1017 1356 1401 1808 1868 2034 2712 2802 3051 3736 4068 4203 5424 5604 6102 7472 8136 8406 11208 12204 12609 16272 16812 22416 24408 25218 33624 48816 50436 52771 67248 100872 105542 158313 201744 211084 316626 422168 474939 633252 844336 949878 1266504 1424817 1899756 2533008 2849634 3799512 5699268 7599024 11398536 22797072