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22280768 = 261973251
BaseRepresentation
bin101010011111…
…1101001000000
31112220222110122
41110333221000
521200441033
62113315412
7360245336
oct124775100
945828418
1022280768
1111638964
127565b68
1348015b3
142d5db56
151e51a98
hex153fa40

22280768 has 56 divisors (see below), whose sum is σ = 47365920. Its totient is φ = 10368000.

The previous prime is 22280743. The next prime is 22280779. The reversal of 22280768 is 86708222.

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, 88643 + ... + 88893.

It is an arithmetic number, because the mean of its divisors is an integer number (845820).

Almost surely, 222280768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682960).

22280768 is an abundant number, since it is smaller than the sum of its proper divisors (25085152).

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

22280768 is a wasteful number, since it uses less digits than its factorization.

22280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 22280768 is about 4720.2508407923. The cubic root of 22280768 is about 281.3909023693.

The spelling of 22280768 in words is "twenty-two million, two hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 146 152 251 292 304 502 584 608 1004 1168 1216 1387 2008 2336 2774 4016 4672 4769 5548 8032 9538 11096 16064 18323 19076 22192 36646 38152 44384 73292 76304 88768 146584 152608 293168 305216 348137 586336 696274 1172672 1392548 2785096 5570192 11140384 22280768