Search a number
-
+
10222900 = 2252102229
BaseRepresentation
bin100110111111…
…110100110100
3201020101011221
4212333310310
510104113100
61003040124
7152615242
oct46776464
921211157
1010222900
115852686
123510044
13216c16c
141501792
15d6e01a
hex9bfd34

10222900 has 18 divisors (see below), whose sum is σ = 22183910. Its totient is φ = 4089120.

The previous prime is 10222897. The next prime is 10222903. The reversal of 10222900 is 922201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10222897) and next prime (10222903).

It can be written as a sum of positive squares in 3 ways, for example, as 944784 + 9278116 = 972^2 + 3046^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222903) 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, 51015 + ... + 51214.

Almost surely, 210222900 is an apocalyptic number.

10222900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222900 is an abundant number, since it is smaller than the sum of its proper divisors (11961010).

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

10222900 is a wasteful number, since it uses less digits than its factorization.

10222900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102243 (or 102236 counting only the distinct ones).

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

The square root of 10222900 is about 3197.3270086120. The cubic root of 10222900 is about 217.0324655709.

The spelling of 10222900 in words is "ten million, two hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102229 204458 408916 511145 1022290 2044580 2555725 5111450 10222900