Search a number
-
+
22120900 = 2252221209
BaseRepresentation
bin101010001100…
…0100111000100
31112121212011121
41110120213010
521130332100
62110043324
7356011264
oct124304704
945555147
1022120900
111153983a
1274a9544
1347768b9
142d1b7a4
151e1e51a
hex15189c4

22120900 has 18 divisors (see below), whose sum is σ = 48002570. Its totient is φ = 8848320.

The previous prime is 22120897. The next prime is 22120907. The reversal of 22120900 is 902122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 21104836 = 1008^2 + 4594^2 .

It is not an unprimeable number, because it can be changed into a prime (22120907) 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, 110505 + ... + 110704.

Almost surely, 222120900 is an apocalyptic number.

22120900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120900 is an abundant number, since it is smaller than the sum of its proper divisors (25881670).

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

22120900 is a wasteful number, since it uses less digits than its factorization.

22120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221223 (or 221216 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 22120900 is about 4703.2860852812. The cubic root of 22120900 is about 280.7162783443.

The spelling of 22120900 in words is "twenty-two million, one hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221209 442418 884836 1106045 2212090 4424180 5530225 11060450 22120900