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21220440 = 2335181977
BaseRepresentation
bin101000011110…
…0110001011000
31110221002222020
41100330301120
520413023230
62034454440
7345241113
oct120746130
943832866
1021220440
1110a8425a
127134420
13451ca97
142b6557a
151ce2810
hex143cc58

21220440 has 64 divisors (see below), whose sum is σ = 64078560. Its totient is φ = 5621760.

The previous prime is 21220429. The next prime is 21220477. The reversal of 21220440 is 4402212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21232 + ... + 22208.

Almost surely, 221220440 is an apocalyptic number.

21220440 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 21220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32039280).

21220440 is an abundant number, since it is smaller than the sum of its proper divisors (42858120).

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

21220440 is a wasteful number, since it uses less digits than its factorization.

21220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 21220440 is about 4606.5648806893. The cubic root of 21220440 is about 276.8544200640.

Adding to 21220440 its reverse (4402212), we get a palindrome (25622652).

The spelling of 21220440 in words is "twenty-one million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 977 1086 1448 1810 1954 2172 2715 2931 3620 3908 4344 4885 5430 5862 7240 7816 9770 10860 11724 14655 19540 21720 23448 29310 39080 58620 117240 176837 353674 530511 707348 884185 1061022 1414696 1768370 2122044 2652555 3536740 4244088 5305110 7073480 10610220 21220440