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22990560 = 2535211227
BaseRepresentation
bin101011110110…
…0111011100000
31121021001010020
41113230323200
521341144220
62140433440
7366262605
oct127547340
947231106
1022990560
1111a8316a
127848880
1349bc6a8
1430a66ac
152042040
hex15ecee0

22990560 has 96 divisors (see below), whose sum is σ = 73084032. Its totient is φ = 6074880.

The previous prime is 22990559. The next prime is 22990603. The reversal of 22990560 is 6509922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×229905602 = 1057131698227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101167 + ... + 101393.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 222990560 is an apocalyptic number.

22990560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36542016).

22990560 is an abundant number, since it is smaller than the sum of its proper divisors (50093472).

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

22990560 is a wasteful number, since it uses less digits than its factorization.

22990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 22990560 is about 4794.8472342714. The cubic root of 22990560 is about 284.3477852634.

The spelling of 22990560 in words is "twenty-two million, nine hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 227 240 422 454 480 633 681 844 908 1055 1135 1266 1362 1688 1816 2110 2270 2532 2724 3165 3376 3405 3632 4220 4540 5064 5448 6330 6752 6810 7264 8440 9080 10128 10896 12660 13620 16880 18160 20256 21792 25320 27240 33760 36320 47897 50640 54480 95794 101280 108960 143691 191588 239485 287382 383176 478970 574764 718455 766352 957940 1149528 1436910 1532704 1915880 2299056 2873820 3831760 4598112 5747640 7663520 11495280 22990560