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21225660 = 22351943433
BaseRepresentation
bin101000011111…
…0000010111100
31110221101010120
41100332002330
520413210120
62034534540
7345262251
oct120760274
943841116
1021225660
1110a88175
127137450
134522281
142b67428
151ce4140
hex143e0bc

21225660 has 96 divisors (see below), whose sum is σ = 64162560. Its totient is φ = 5225472.

The previous prime is 21225653. The next prime is 21225661. The reversal of 21225660 is 6652212.

It is a self number, because there is not a number n which added to its sum of digits gives 21225660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21225661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48804 + ... + 49236.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 221225660 is an apocalyptic number.

21225660 is a gapful number since it is divisible by the number (20) 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 21225660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32081280).

21225660 is an abundant number, since it is smaller than the sum of its proper divisors (42936900).

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

21225660 is a wasteful number, since it uses less digits than its factorization.

21225660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 21225660 is about 4607.1314285573. The cubic root of 21225660 is about 276.8771192727.

Adding to 21225660 its reverse (6652212), we get a palindrome (27877872).

The spelling of 21225660 in words is "twenty-one million, two hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 215 228 258 285 380 430 433 516 570 645 817 860 866 1140 1290 1299 1634 1732 2165 2451 2580 2598 3268 4085 4330 4902 5196 6495 8170 8227 8660 9804 12255 12990 16340 16454 18619 24510 24681 25980 32908 37238 41135 49020 49362 55857 74476 82270 93095 98724 111714 123405 164540 186190 223428 246810 279285 353761 372380 493620 558570 707522 1061283 1117140 1415044 1768805 2122566 3537610 4245132 5306415 7075220 10612830 21225660