Search a number
-
+
22002100 = 2252220021
BaseRepresentation
bin101001111101…
…1100110110100
31112101211012121
41103323212310
521113031400
62103325324
7355005031
oct123734664
945354177
1022002100
111146855a
127450844
1347347c3
142cca388
151de921a
hex14fb9b4

22002100 has 18 divisors (see below), whose sum is σ = 47744774. Its totient is φ = 8800800.

The previous prime is 22002077. The next prime is 22002107. The reversal of 22002100 is 120022.

Adding to 22002100 its reverse (120022), we get a palindrome (22122122).

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3305124 + 18696976 = 1818^2 + 4324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002107) 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, 109911 + ... + 110110.

Almost surely, 222002100 is an apocalyptic number.

22002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002100 is an abundant number, since it is smaller than the sum of its proper divisors (25742674).

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

22002100 is a wasteful number, since it uses less digits than its factorization.

22002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220035 (or 220028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 22002100 is about 4690.6396152337. The cubic root of 22002100 is about 280.2128483616.

The spelling of 22002100 in words is "twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 220021 440042 880084 1100105 2200210 4400420 5500525 11001050 22002100