Search a number
-
+
2022210100 = 225220222101
BaseRepresentation
bin111100010001000…
…0111101000110100
312012221010220202101
41320202013220310
513120141210400
6532354551444
7101053334161
oct17042075064
95187126671
102022210100
11948537419
12485298584
13262c52731
141527db068
15bc7ed56a
hex78887a34

2022210100 has 18 divisors (see below), whose sum is σ = 4388196134. Its totient is φ = 808884000.

The previous prime is 2022210089. The next prime is 2022210101. The reversal of 2022210100 is 10122202.

It can be written as a sum of positive squares in 3 ways, for example, as 622402704 + 1399807396 = 24948^2 + 37414^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022210101) 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, 10110951 + ... + 10111150.

Almost surely, 22022210100 is an apocalyptic number.

2022210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022210100 is an abundant number, since it is smaller than the sum of its proper divisors (2365986034).

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

2022210100 is a wasteful number, since it uses less digits than its factorization.

2022210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20222115 (or 20222108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2022210100 is about 44968.9904267374. The cubic root of 2022210100 is about 1264.5677203571.

Adding to 2022210100 its reverse (10122202), we get a palindrome (2032332302).

The spelling of 2022210100 in words is "two billion, twenty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20222101 40444202 80888404 101110505 202221010 404442020 505552525 1011105050 2022210100