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21226268 = 22717192347
BaseRepresentation
bin101000011111…
…0001100011100
31110221101222002
41100332030130
520413220033
62034541432
7345264110
oct120761434
943841862
1021226268
1110a88678
127137878
13452262b
142b67740
151ce43e8
hex143e31c

21226268 has 48 divisors (see below), whose sum is σ = 47335680. Its totient is φ = 8107776.

The previous prime is 21226241. The next prime is 21226277. The reversal of 21226268 is 86262212.

It is a self number, because there is not a number n which added to its sum of digits gives 21226268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7871 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (986160).

Almost surely, 221226268 is an apocalyptic number.

21226268 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 21226268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23667840).

21226268 is an abundant number, since it is smaller than the sum of its proper divisors (26109412).

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

21226268 is a wasteful number, since it uses less digits than its factorization.

21226268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2392 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 21226268 is about 4607.1974127445. The cubic root of 21226268 is about 276.8797629232.

The spelling of 21226268 in words is "twenty-one million, two hundred twenty-six thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 2347 4522 4694 9044 9388 16429 32858 39899 44593 65716 79798 89186 159596 178372 279293 312151 558586 624302 758081 1117172 1248604 1516162 3032324 5306567 10613134 21226268