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22533480 = 23325531181
BaseRepresentation
bin101010111110…
…1010101101000
31120101211010100
41111331111220
521232032410
62122545400
7362350164
oct125752550
946354110
1022533480
11117a0812
127668260
13488c628
142dc7ca4
151ea18c0
hex157d568

22533480 has 96 divisors (see below), whose sum is σ = 74678760. Its totient is φ = 5890560.

The previous prime is 22533473. The next prime is 22533499. The reversal of 22533480 is 8433522.

It can be written as a sum of positive squares in 4 ways, for example, as 22297284 + 236196 = 4722^2 + 486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18490 + ... + 19670.

Almost surely, 222533480 is an apocalyptic number.

22533480 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 22533480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37339380).

22533480 is an abundant number, since it is smaller than the sum of its proper divisors (52145280).

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

22533480 is a wasteful number, since it uses less digits than its factorization.

22533480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22533480 is about 4746.9442802713. The cubic root of 22533480 is about 282.4507654298.

The spelling of 22533480 in words is "twenty-two million, five hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1181 1272 1590 1908 2120 2362 2385 3180 3543 3816 4724 4770 5905 6360 7086 9448 9540 10629 11810 14172 17715 19080 21258 23620 28344 35430 42516 47240 53145 62593 70860 85032 106290 125186 141720 187779 212580 250372 312965 375558 425160 500744 563337 625930 751116 938895 1126674 1251860 1502232 1877790 2253348 2503720 2816685 3755580 4506696 5633370 7511160 11266740 22533480