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21225540 = 2235797521
BaseRepresentation
bin101000011111…
…0000001000100
31110221100222010
41100332001010
520413204130
62034534220
7345262020
oct120760104
943840863
1021225540
1110a88076
127137370
1345221bb
142b67380
151ce40b0
hex143e044

21225540 has 96 divisors (see below), whose sum is σ = 68753664. Its totient is φ = 4792320.

The previous prime is 21225511. The next prime is 21225541. The reversal of 21225540 is 4552212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21225541) 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, 40480 + ... + 41000.

It is an arithmetic number, because the mean of its divisors is an integer number (716184).

Almost surely, 221225540 is an apocalyptic number.

21225540 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 21225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34376832).

21225540 is an abundant number, since it is smaller than the sum of its proper divisors (47528124).

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

21225540 is a wasteful number, since it uses less digits than its factorization.

21225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 21225540 is about 4607.1184052507. The cubic root of 21225540 is about 276.8765974936.

Adding to 21225540 its reverse (4552212), we get a palindrome (25777752).

It can be divided in two parts, 212 and 25540, that added together give a palindrome (25752).

The spelling of 21225540 in words is "twenty-one million, two hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 521 582 679 970 1042 1164 1358 1455 1563 1940 2037 2084 2605 2716 2910 3126 3395 3647 4074 5210 5820 6252 6790 7294 7815 8148 10185 10420 10941 13580 14588 15630 18235 20370 21882 31260 36470 40740 43764 50537 54705 72940 101074 109410 151611 202148 218820 252685 303222 353759 505370 606444 707518 758055 1010740 1061277 1415036 1516110 1768795 2122554 3032220 3537590 4245108 5306385 7075180 10612770 21225540