[go: up one dir, main page]

Search a number
-
+
22480960 = 265163431
BaseRepresentation
bin101010111000…
…0100001000000
31120022011002011
41111300201000
521223342320
62121502304
7362041105
oct125604100
946264064
1022480960
1111765307
127641994
134871758
142db2aac
151e9105a
hex1570840

22480960 has 56 divisors (see below), whose sum is σ = 53986176. Its totient is φ = 8916480.

The previous prime is 22480949. The next prime is 22480961. The reversal of 22480960 is 6908422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22480961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51945 + ... + 52375.

Almost surely, 222480960 is an apocalyptic number.

22480960 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 22480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26993088).

22480960 is an abundant number, since it is smaller than the sum of its proper divisors (31505216).

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

22480960 is a wasteful number, since it uses less digits than its factorization.

22480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 22480960 is about 4741.4090732608. The cubic root of 22480960 is about 282.2311536315.

The spelling of 22480960 in words is "twenty-two million, four hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 163 320 326 431 652 815 862 1304 1630 1724 2155 2608 3260 3448 4310 5216 6520 6896 8620 10432 13040 13792 17240 26080 27584 34480 52160 68960 70253 137920 140506 281012 351265 562024 702530 1124048 1405060 2248096 2810120 4496192 5620240 11240480 22480960