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21222420 = 2235418627
BaseRepresentation
bin101000011110…
…1010000010100
31110221012200120
41100331100110
520413104140
62034511540
7345246642
oct120752024
943835616
1021222420
1110a8579a
1271355b0
13452095b
142b66192
151ce31d0
hex143d414

21222420 has 48 divisors (see below), whose sum is σ = 60879168. Its totient is φ = 5520640.

The previous prime is 21222401. The next prime is 21222433. The reversal of 21222420 is 2422212.

It is a super-2 number, since 2×212224202 = 900782221312800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21222420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854 + ... + 6773.

It is an arithmetic number, because the mean of its divisors is an integer number (1268316).

Almost surely, 221222420 is an apocalyptic number.

21222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222420 is an abundant number, since it is smaller than the sum of its proper divisors (39656748).

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

21222420 is a wasteful number, since it uses less digits than its factorization.

21222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 8678 counting only the distinct ones).

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

The square root of 21222420 is about 4606.7797863584. The cubic root of 21222420 is about 276.8630305468.

Adding to 21222420 its reverse (2422212), we get a palindrome (23644632).

The spelling of 21222420 in words is "twenty-one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 8627 17254 25881 34508 43135 51762 86270 103524 129405 172540 258810 353707 517620 707414 1061121 1414828 1768535 2122242 3537070 4244484 5305605 7074140 10611210 21222420