Search a number
-
+
20212200 = 23335219197
BaseRepresentation
bin100110100011…
…0100111101000
31102000212221000
41031012213220
520133242300
62001115000
7333541461
oct115064750
942025830
1020212200
11104557a8
126928a60
134258ba8
142981d68
151b93c00
hex13469e8

20212200 has 192 divisors, whose sum is σ = 73656000. Its totient is φ = 5080320.

The previous prime is 20212187. The next prime is 20212223. The reversal of 20212200 is 221202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102502 + ... + 102698.

It is an arithmetic number, because the mean of its divisors is an integer number (383625).

Almost surely, 220212200 is an apocalyptic number.

20212200 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 20212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000).

20212200 is an abundant number, since it is smaller than the sum of its proper divisors (53443800).

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

20212200 is a wasteful number, since it uses less digits than its factorization.

20212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20212200 is about 4495.7980381685. The cubic root of 20212200 is about 272.3983853657.

Adding to 20212200 its reverse (221202), we get a palindrome (20433402).

The spelling of 20212200 in words is "twenty million, two hundred twelve thousand, two hundred".