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22438480 = 245416841
BaseRepresentation
bin101010110011…
…0001001010000
31120012222210211
41111212021100
521221012410
62120533504
7361503211
oct125461120
946188724
1022438480
11117363a9
127621294
13485830c
142da1408
151e8368a
hex1566250

22438480 has 40 divisors (see below), whose sum is σ = 53449704. Its totient is φ = 8755200.

The previous prime is 22438459. The next prime is 22438511. The reversal of 22438480 is 8483422.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 21752896 = 828^2 + 4664^2 .

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 6700.

Almost surely, 222438480 is an apocalyptic number.

22438480 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 22438480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26724852).

22438480 is an abundant number, since it is smaller than the sum of its proper divisors (31011224).

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

22438480 is a wasteful number, since it uses less digits than its factorization.

22438480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 22438480 is about 4736.9272740881. The cubic root of 22438480 is about 282.0532736400.

The spelling of 22438480 in words is "twenty-two million, four hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 6841 13682 27364 34205 54728 68410 109456 136820 273640 280481 547280 560962 1121924 1402405 2243848 2804810 4487696 5609620 11219240 22438480