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20422200 = 23352101337
BaseRepresentation
bin100110111100…
…1111000111000
31102102112222210
41031321320320
520212002300
62005415120
7335404641
oct115717070
942375883
1020422200
1110589557
126a0a4a0
134300656
1429d86c8
151bd6050
hex1379e38

20422200 has 96 divisors (see below), whose sum is σ = 64125360. Its totient is φ = 5376000.

The previous prime is 20422189. The next prime is 20422243. The reversal of 20422200 is 222402.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60432 + ... + 60768.

Almost surely, 220422200 is an apocalyptic number.

20422200 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 20422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062680).

20422200 is an abundant number, since it is smaller than the sum of its proper divisors (43703160).

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

20422200 is a wasteful number, since it uses less digits than its factorization.

20422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20422200 is about 4519.0928293187. The cubic root of 20422200 is about 273.3385219453.

Adding to 20422200 its reverse (222402), we get a palindrome (20644602).

The spelling of 20422200 in words is "twenty million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 337 404 505 600 606 674 808 1010 1011 1212 1348 1515 1685 2020 2022 2424 2525 2696 3030 3370 4040 4044 5050 5055 6060 6740 7575 8088 8425 10100 10110 12120 13480 15150 16850 20200 20220 25275 30300 33700 34037 40440 50550 60600 67400 68074 101100 102111 136148 170185 202200 204222 272296 340370 408444 510555 680740 816888 850925 1021110 1361480 1701850 2042220 2552775 3403700 4084440 5105550 6807400 10211100 20422200