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22680450 = 23252133877
BaseRepresentation
bin101011010000…
…1001110000010
31120200021201200
41112201032002
521301233300
62130042030
7363531522
oct126411602
946607650
1022680450
1111891181
127719316
1349114b0
143025682
151ed0200
hex15a1382

22680450 has 72 divisors (see below), whose sum is σ = 65639028. Its totient is φ = 5581440.

The previous prime is 22680439. The next prime is 22680457. The reversal of 22680450 is 5408622.

It can be written as a sum of positive squares in 6 ways, for example, as 2241009 + 20439441 = 1497^2 + 4521^2 .

It is not an unprimeable number, because it can be changed into a prime (22680457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3912 + ... + 7788.

Almost surely, 222680450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22680450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32819514).

22680450 is an abundant number, since it is smaller than the sum of its proper divisors (42958578).

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

22680450 is a wasteful number, since it uses less digits than its factorization.

22680450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22680450 is about 4762.3996052410. The cubic root of 22680450 is about 283.0635109074.

The spelling of 22680450 in words is "twenty-two million, six hundred eighty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 3877 5850 7754 11631 19385 23262 34893 38770 50401 58155 69786 96925 100802 116310 151203 174465 193850 252005 290775 302406 348930 453609 504010 581550 756015 872325 907218 1260025 1512030 1744650 2268045 2520050 3780075 4536090 7560150 11340225 22680450