Search a number
-
+
22202900 = 2252222029
BaseRepresentation
bin101010010110…
…0101000010100
31112210000122122
41110230220110
521140443100
62111515112
7356502326
oct124545024
945700578
1022202900
1111595405
127528a98
1347a5015
142d3d616
151e38985
hex152ca14

22202900 has 18 divisors (see below), whose sum is σ = 48180510. Its totient is φ = 8881120.

The previous prime is 22202891. The next prime is 22202903. The reversal of 22202900 is 920222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37636 + 22165264 = 194^2 + 4708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110915 + ... + 111114.

It is an arithmetic number, because the mean of its divisors is an integer number (2676695).

Almost surely, 222202900 is an apocalyptic number.

22202900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202900 is an abundant number, since it is smaller than the sum of its proper divisors (25977610).

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

22202900 is a wasteful number, since it uses less digits than its factorization.

22202900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222043 (or 222036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 22202900 is about 4711.9953310673. The cubic root of 22202900 is about 281.0627131718.

The spelling of 22202900 in words is "twenty-two million, two hundred two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222029 444058 888116 1110145 2220290 4440580 5550725 11101450 22202900