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22117280 = 2551371009
BaseRepresentation
bin101010001011…
…1101110100000
31112121200012112
41110113232200
521130223110
62110014452
7355664603
oct124275640
945550175
1022117280
1111537049
1274a7428
134775063
142d1a33a
151e1d405
hex1517ba0

22117280 has 48 divisors (see below), whose sum is σ = 52685640. Its totient is φ = 8773632.

The previous prime is 22117279. The next prime is 22117331. The reversal of 22117280 is 8271122.

It can be written as a sum of positive squares in 4 ways, for example, as 16679056 + 5438224 = 4084^2 + 2332^2 .

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, 21416 + ... + 22424.

Almost surely, 222117280 is an apocalyptic number.

22117280 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 22117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26342820).

22117280 is an abundant number, since it is smaller than the sum of its proper divisors (30568360).

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

22117280 is a wasteful number, since it uses less digits than its factorization.

22117280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 22117280 is about 4702.9012322183. The cubic root of 22117280 is about 280.7009647968.

The spelling of 22117280 in words is "twenty-two million, one hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1009 1096 1370 2018 2192 2740 4036 4384 5045 5480 8072 10090 10960 16144 20180 21920 32288 40360 80720 138233 161440 276466 552932 691165 1105864 1382330 2211728 2764660 4423456 5529320 11058640 22117280