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22868280 = 23325139457
BaseRepresentation
bin101011100111…
…1000100111000
31121000211101100
41113033010320
521323241110
62134051400
7365243241
oct127170470
947024340
1022868280
11119aa306
1277a9b60
134978b36
143073cc8
15201abc0
hex15cf138

22868280 has 96 divisors (see below), whose sum is σ = 75020400. Its totient is φ = 6041088.

The previous prime is 22868231. The next prime is 22868291. The reversal of 22868280 is 8286822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 49812 + ... + 50268.

Almost surely, 222868280 is an apocalyptic number.

22868280 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 22868280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37510200).

22868280 is an abundant number, since it is smaller than the sum of its proper divisors (52152120).

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

22868280 is a wasteful number, since it uses less digits than its factorization.

22868280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 22868280 is about 4782.0790457708. The cubic root of 22868280 is about 283.8427682209.

The spelling of 22868280 in words is "twenty-two million, eight hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 457 556 695 834 914 1112 1251 1371 1390 1668 1828 2085 2285 2502 2742 2780 3336 3656 4113 4170 4570 5004 5484 5560 6255 6855 8226 8340 9140 10008 10968 12510 13710 16452 16680 18280 20565 25020 27420 32904 41130 50040 54840 63523 82260 127046 164520 190569 254092 317615 381138 508184 571707 635230 762276 952845 1143414 1270460 1524552 1905690 2286828 2540920 2858535 3811380 4573656 5717070 7622760 11434140 22868280