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21228714 = 23213257353
BaseRepresentation
bin101000011111…
…0110010101010
31110221112022200
41100332302222
520413304324
62035001030
7345304203
oct120766252
943845280
1021228714
1110a8a4a1
127139176
134523790
142b685aa
151ce4ec9
hex143ecaa

21228714 has 48 divisors (see below), whose sum is σ = 49867272. Its totient is φ = 6488064.

The previous prime is 21228709. The next prime is 21228737. The reversal of 21228714 is 41782212.

21228714 = T155 + T156 + ... + T507.

It can be written as a sum of positive squares in 4 ways, for example, as 19316025 + 1912689 = 4395^2 + 1383^2 .

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, 59962 + ... + 60314.

Almost surely, 221228714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21228714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24933636).

21228714 is an abundant number, since it is smaller than the sum of its proper divisors (28638558).

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

21228714 is a wasteful number, since it uses less digits than its factorization.

21228714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 628 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 21228714 is about 4607.4628593186. The cubic root of 21228714 is about 276.8903978888.

The spelling of 21228714 in words is "twenty-one million, two hundred twenty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 257 353 514 706 771 1059 1542 2118 2313 3177 3341 4589 4626 6354 6682 9178 10023 13767 20046 27534 30069 41301 60138 82602 90721 181442 272163 544326 816489 1179373 1632978 2358746 3538119 7076238 10614357 21228714