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21718228 = 22731131191
BaseRepresentation
bin101001011011…
…0010011010100
31111212101210211
41102312103110
521024440403
62053255204
7352413310
oct122662324
944771724
1021718228
1111294254
127334504
13466552c
142c54b40
151d9006d
hex14b64d4

21718228 has 48 divisors (see below), whose sum is σ = 45416448. Its totient is φ = 8892000.

The previous prime is 21718201. The next prime is 21718241. The reversal of 21718228 is 82281712.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 21718228.

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, 113613 + ... + 113803.

It is an arithmetic number, because the mean of its divisors is an integer number (946176).

Almost surely, 221718228 is an apocalyptic number.

21718228 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 21718228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708224).

21718228 is an abundant number, since it is smaller than the sum of its proper divisors (23698220).

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

21718228 is a wasteful number, since it uses less digits than its factorization.

21718228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its digits is 3584, while the sum is 31.

The square root of 21718228 is about 4660.2819657184. The cubic root of 21718228 is about 279.0025222127.

The spelling of 21718228 in words is "twenty-one million, seven hundred eighteen thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 131 191 217 262 382 434 524 764 868 917 1337 1834 2674 3668 4061 5348 5921 8122 11842 16244 23684 25021 28427 41447 50042 56854 82894 100084 113708 165788 175147 350294 700588 775651 1551302 3102604 5429557 10859114 21718228