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22214900 = 2252222149
BaseRepresentation
bin101010010111…
…1100011110100
31112210122010002
41110233203310
521141334100
62112050432
7356552321
oct124574364
945718102
1022214900
11115a3424
127533a18
1347aa616
142d43b48
151e3c2d5
hex152f8f4

22214900 has 18 divisors (see below), whose sum is σ = 48206550. Its totient is φ = 8885920.

The previous prime is 22214893. The next prime is 22214909. The reversal of 22214900 is 941222.

It can be written as a sum of positive squares in 3 ways, for example, as 1073296 + 21141604 = 1036^2 + 4598^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214909) 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, 110975 + ... + 111174.

Almost surely, 222214900 is an apocalyptic number.

22214900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22214900 is an abundant number, since it is smaller than the sum of its proper divisors (25991650).

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

22214900 is a wasteful number, since it uses less digits than its factorization.

22214900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222163 (or 222156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 22214900 is about 4713.2685049761. The cubic root of 22214900 is about 281.1133393681.

The spelling of 22214900 in words is "twenty-two million, two hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222149 444298 888596 1110745 2221490 4442980 5553725 11107450 22214900