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22052280 = 23351271447
BaseRepresentation
bin101010000011…
…1110110111000
31112111101001010
41110013312320
521121133110
62104353520
7355304235
oct124076670
945441033
1022052280
11114a2228
1274758a0
1347515b3
142d0078c
151e09020
hex1507db8

22052280 has 64 divisors (see below), whose sum is σ = 66723840. Its totient is φ = 5830272.

The previous prime is 22052237. The next prime is 22052299. The reversal of 22052280 is 8225022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14517 + ... + 15963.

It is an arithmetic number, because the mean of its divisors is an integer number (1042560).

Almost surely, 222052280 is an apocalyptic number.

22052280 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 22052280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33361920).

22052280 is an abundant number, since it is smaller than the sum of its proper divisors (44671560).

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

22052280 is a wasteful number, since it uses less digits than its factorization.

22052280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 22052280 is about 4695.9855195688. The cubic root of 22052280 is about 280.4257129607.

The spelling of 22052280 in words is "twenty-two million, fifty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1447 1524 1905 2540 2894 3048 3810 4341 5080 5788 7235 7620 8682 11576 14470 15240 17364 21705 28940 34728 43410 57880 86820 173640 183769 367538 551307 735076 918845 1102614 1470152 1837690 2205228 2756535 3675380 4410456 5513070 7350760 11026140 22052280