Search a number
-
+
22745280 = 2635192943
BaseRepresentation
bin101011011000…
…1000011000000
31120210120122210
41112301003000
521310322110
62131302120
7364221525
oct126610300
946716583
1022745280
1111925958
12774a940
134934b5c
14304114c
151ee4520
hex15b10c0

22745280 has 224 divisors, whose sum is σ = 80467200. Its totient is φ = 5419008.

The previous prime is 22745257. The next prime is 22745287. The reversal of 22745280 is 8254722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22745287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528939 + ... + 528981.

Almost surely, 222745280 is an apocalyptic number.

22745280 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 22745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40233600).

22745280 is an abundant number, since it is smaller than the sum of its proper divisors (57721920).

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

22745280 is a wasteful number, since it uses less digits than its factorization.

22745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 22745280 is about 4769.2011909753. The cubic root of 22745280 is about 283.3329580925.

The spelling of 22745280 in words is "twenty-two million, seven hundred forty-five thousand, two hundred eighty".