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20238900 = 22352116133
BaseRepresentation
bin100110100110…
…1001000110100
31102002020112220
41031031020310
520140121100
62001442340
7334012353
oct115151064
942066486
1020238900
1110473870
1269403b0
1342680a6
14298b99a
151b9baa0
hex134d234

20238900 has 72 divisors (see below), whose sum is σ = 63891744. Its totient is φ = 4905600.

The previous prime is 20238887. The next prime is 20238901. The reversal of 20238900 is 983202.

It is a super-2 number, since 2×202389002 = 819226146420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20238901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 234 + ... + 6366.

Almost surely, 220238900 is an apocalyptic number.

20238900 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 20238900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31945872).

20238900 is an abundant number, since it is smaller than the sum of its proper divisors (43652844).

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

20238900 is a wasteful number, since it uses less digits than its factorization.

20238900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20238900 is about 4498.7664976080. The cubic root of 20238900 is about 272.5182772579.

The spelling of 20238900 in words is "twenty million, two hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6133 12266 18399 24532 30665 36798 61330 67463 73596 91995 122660 134926 153325 183990 202389 269852 306650 337315 367980 404778 459975 613300 674630 809556 919950 1011945 1349260 1686575 1839900 2023890 3373150 4047780 5059725 6746300 10119450 20238900