Search a number
-
+
22148900 = 2252221489
BaseRepresentation
bin101010001111…
…1011100100100
31112200021120122
41110133130210
521132231100
62110421112
7356156024
oct124373444
945607518
1022148900
1111558884
127501798
134786577
142d27a84
151e27985
hex151f724

22148900 has 18 divisors (see below), whose sum is σ = 48063330. Its totient is φ = 8859520.

The previous prime is 22148879. The next prime is 22148921. The reversal of 22148900 is 984122.

It is an interprime number because it is at equal distance from previous prime (22148879) and next prime (22148921).

It can be written as a sum of positive squares in 3 ways, for example, as 1700416 + 20448484 = 1304^2 + 4522^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22148900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110645 + ... + 110844.

It is an arithmetic number, because the mean of its divisors is an integer number (2670185).

Almost surely, 222148900 is an apocalyptic number.

22148900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22148900 is an abundant number, since it is smaller than the sum of its proper divisors (25914430).

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

22148900 is a wasteful number, since it uses less digits than its factorization.

22148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221503 (or 221496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 22148900 is about 4706.2617861738. The cubic root of 22148900 is about 280.8346692745.

The spelling of 22148900 in words is "twenty-two million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221489 442978 885956 1107445 2214890 4429780 5537225 11074450 22148900