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22250088 = 23327131337
BaseRepresentation
bin101010011100…
…0001001101000
31112212102101100
41110320021220
521144000323
62112521400
7360060030
oct124701150
945772340
1022250088
1111617903
127550260
1347c0643
142d528c0
151e47943
hex1538268

22250088 has 96 divisors (see below), whose sum is σ = 69600960. Its totient is φ = 6289920.

The previous prime is 22250087. The next prime is 22250099. The reversal of 22250088 is 88005222.

It is a Cunningham number, because it is equal to 47172-1.

It is not an unprimeable number, because it can be changed into a prime (22250087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65856 + ... + 66192.

It is an arithmetic number, because the mean of its divisors is an integer number (725010).

Almost surely, 222250088 is an apocalyptic number.

22250088 is a gapful number since it is divisible by the number (28) 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 22250088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34800480).

22250088 is an abundant number, since it is smaller than the sum of its proper divisors (47350872).

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

22250088 is a wasteful number, since it uses less digits than its factorization.

22250088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22250088 is about 4716.9998940004. Note that the first 3 decimals coincide. The cubic root of 22250088 is about 281.2616872180.

The spelling of 22250088 in words is "twenty-two million, two hundred fifty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 337 393 504 524 674 786 917 1011 1048 1179 1348 1572 1834 2022 2358 2359 2696 2751 3033 3144 3668 4044 4716 4718 5502 6066 7077 7336 8088 8253 9432 9436 11004 12132 14154 16506 18872 21231 22008 24264 28308 33012 42462 44147 56616 66024 84924 88294 132441 169848 176588 264882 309029 353176 397323 529764 618058 794646 927087 1059528 1236116 1589292 1854174 2472232 2781261 3178584 3708348 5562522 7416696 11125044 22250088