Search a number
-
+
22262480 = 245421661
BaseRepresentation
bin101010011101…
…1001011010000
31112220001101022
41110323023100
521144344410
62113055012
7360141122
oct124731320
945801338
1022262480
1111626149
127557468
1347c6186
142d57212
151e4b455
hex153b2d0

22262480 has 40 divisors (see below), whose sum is σ = 51961704. Its totient is φ = 8870400.

The previous prime is 22262477. The next prime is 22262489. The reversal of 22262480 is 8426222.

It can be written as a sum of positive squares in 4 ways, for example, as 322624 + 21939856 = 568^2 + 4684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22262489) 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, 33350 + ... + 34010.

Almost surely, 222262480 is an apocalyptic number.

22262480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22262480 is an abundant number, since it is smaller than the sum of its proper divisors (29699224).

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

22262480 is a wasteful number, since it uses less digits than its factorization.

22262480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 22262480 is about 4718.3132579344. The cubic root of 22262480 is about 281.3138929737.

The spelling of 22262480 in words is "twenty-two million, two hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 661 842 1322 1684 2105 2644 3305 3368 4210 5288 6610 6736 8420 10576 13220 16840 26440 33680 52880 278281 556562 1113124 1391405 2226248 2782810 4452496 5565620 11131240 22262480