Search a number
-
+
22405700 = 2252224057
BaseRepresentation
bin101010101111…
…0001001000100
31120011022211202
41111132021010
521213440300
62120122032
7361305512
oct125361104
946138752
1022405700
1111713809
127606318
134846415
142d934b2
151e78ad5
hex155e244

22405700 has 18 divisors (see below), whose sum is σ = 48620586. Its totient is φ = 8962240.

The previous prime is 22405687. The next prime is 22405723. The reversal of 22405700 is 750422.

It can be written as a sum of positive squares in 3 ways, for example, as 5299204 + 17106496 = 2302^2 + 4136^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111929 + ... + 112128.

Almost surely, 222405700 is an apocalyptic number.

22405700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22405700 is an abundant number, since it is smaller than the sum of its proper divisors (26214886).

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

22405700 is a wasteful number, since it uses less digits than its factorization.

22405700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224071 (or 224064 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 22405700 is about 4733.4659605832. The cubic root of 22405700 is about 281.9158577326.

The spelling of 22405700 in words is "twenty-two million, four hundred five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 224057 448114 896228 1120285 2240570 4481140 5601425 11202850 22405700