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21267225 = 335272643
BaseRepresentation
bin101000100100…
…0001100011001
31111000111011000
41101020030121
520421022400
62035455213
7345524400
oct121101431
944014130
1021267225
1111006421
127157509
134538175
142b78637
151d01600
hex1448319

21267225 has 72 divisors (see below), whose sum is σ = 45517920. Its totient is φ = 9707040.

The previous prime is 21267161. The next prime is 21267227. The reversal of 21267225 is 52276212.

It is not a de Polignac number, because 21267225 - 26 = 21267161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21267227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32754 + ... + 33396.

Almost surely, 221267225 is an apocalyptic number.

21267225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21267225 is an abundant number, since it is smaller than the sum of its proper divisors (24250695).

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

21267225 is a wasteful number, since it uses less digits than its factorization.

21267225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 21267225 is about 4611.6401637595. The cubic root of 21267225 is about 277.0577323223.

The spelling of 21267225 in words is "twenty-one million, two hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 441 525 643 675 735 945 1225 1323 1575 1929 2205 3215 3675 4501 4725 5787 6615 9645 11025 13503 16075 17361 22505 28935 31507 33075 40509 48225 67515 86805 94521 112525 121527 144675 157535 202545 283563 337575 434025 472605 607635 787675 850689 1012725 1417815 2363025 3038175 4253445 7089075 21267225