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20042200 = 2352234357
BaseRepresentation
bin100110001110…
…1000111011000
31101201020201201
41030131013120
520112322300
61553323544
7332233033
oct114350730
941636651
1020042200
111034a002
1268665b4
1341c96b9
14293a01a
151b5d66a
hex131d1d8

20042200 has 48 divisors (see below), whose sum is σ = 48635280. Its totient is φ = 7666560.

The previous prime is 20042173. The next prime is 20042249. The reversal of 20042200 is 224002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422 + ... + 6778.

It is an arithmetic number, because the mean of its divisors is an integer number (1013235).

Almost surely, 220042200 is an apocalyptic number.

20042200 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 20042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24317640).

20042200 is an abundant number, since it is smaller than the sum of its proper divisors (28593080).

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

20042200 is a wasteful number, since it uses less digits than its factorization.

20042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 20042200 is about 4476.8515722548. The cubic root of 20042200 is about 271.6325415795.

Adding to 20042200 its reverse (224002), we get a palindrome (20266202).

The spelling of 20042200 in words is "twenty million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4357 4600 8714 17428 21785 34856 43570 87140 100211 108925 174280 200422 217850 400844 435700 501055 801688 871400 1002110 2004220 2505275 4008440 5010550 10021100 20042200