Search a number
-
+
21225440 = 255532503
BaseRepresentation
bin101000011110…
…1111111100000
31110221100211102
41100331333200
520413203230
62034533532
7345261515
oct120757740
943840742
1021225440
1110a87a95
1271372a8
134522142
142b6730c
151ce4045
hex143dfe0

21225440 has 48 divisors (see below), whose sum is σ = 51111648. Its totient is φ = 8326656.

The previous prime is 21225437. The next prime is 21225473. The reversal of 21225440 is 4452212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7229 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (1064826).

Almost surely, 221225440 is an apocalyptic number.

21225440 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 21225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25555824).

21225440 is an abundant number, since it is smaller than the sum of its proper divisors (29886208).

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

21225440 is a wasteful number, since it uses less digits than its factorization.

21225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 21225440 is about 4607.1075524672. The cubic root of 21225440 is about 276.8761626762.

Adding to 21225440 its reverse (4452212), we get a palindrome (25677652).

It can be divided in two parts, 212 and 25440, that added together give a palindrome (25652).

The spelling of 21225440 in words is "twenty-one million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 2503 4240 5006 8480 10012 12515 20024 25030 40048 50060 80096 100120 132659 200240 265318 400480 530636 663295 1061272 1326590 2122544 2653180 4245088 5306360 10612720 21225440