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21422100 = 2235271012
BaseRepresentation
bin101000110111…
…0000000010100
31111022100121010
41101232000110
520441001400
62043052220
7350041050
oct121560024
944270533
1021422100
1111101817
127211070
1345907cb
142bb8c60
151d32450
hex146e014

21422100 has 108 divisors (see below), whose sum is σ = 71544032. Its totient is φ = 4848000.

The previous prime is 21422099. The next prime is 21422117. The reversal of 21422100 is 122412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212050 + ... + 212150.

Almost surely, 221422100 is an apocalyptic number.

21422100 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 21422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35772016).

21422100 is an abundant number, since it is smaller than the sum of its proper divisors (50121932).

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

21422100 is a wasteful number, since it uses less digits than its factorization.

21422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21422100 is about 4628.4014519054. The cubic root of 21422100 is about 277.7286484964.

Adding to 21422100 its reverse (122412), we get a palindrome (21544512).

The spelling of 21422100 in words is "twenty-one million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 101 105 140 150 175 202 210 300 303 350 404 420 505 525 606 700 707 1010 1050 1212 1414 1515 2020 2100 2121 2525 2828 3030 3535 4242 5050 6060 7070 7575 8484 10100 10201 10605 14140 15150 17675 20402 21210 30300 30603 35350 40804 42420 51005 53025 61206 70700 71407 102010 106050 122412 142814 153015 204020 212100 214221 255025 285628 306030 357035 428442 510050 612060 714070 765075 856884 1020100 1071105 1428140 1530150 1785175 2142210 3060300 3570350 4284420 5355525 7140700 10711050 21422100