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2202226900 = 225222022269
BaseRepresentation
bin1000001101000011…
…0101000011010100
312200110212201101021
42003100311003110
514002232230100
61002305210524
7105400422406
oct20320650324
95613781337
102202226900
11a30110735
12515630a44
13291331153
1416c69ab76
15cd50ba1a
hex834350d4

2202226900 has 18 divisors (see below), whose sum is σ = 4778832590. Its totient is φ = 880890720.

The previous prime is 2202226889. The next prime is 2202226909. The reversal of 2202226900 is 96222022.

It can be written as a sum of positive squares in 3 ways, for example, as 488763664 + 1713463236 = 22108^2 + 41394^2 .

It is a super-2 number, since 2×22022269002 = 9699606638167220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202226909) 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, 11011035 + ... + 11011234.

Almost surely, 22202226900 is an apocalyptic number.

2202226900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202226900 is an abundant number, since it is smaller than the sum of its proper divisors (2576605690).

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

2202226900 is a wasteful number, since it uses less digits than its factorization.

2202226900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22022283 (or 22022276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2202226900 is about 46927.8904277616. The cubic root of 2202226900 is about 1301.0301302466.

Adding to 2202226900 its reverse (96222022), we get a palindrome (2298448922).

The spelling of 2202226900 in words is "two billion, two hundred two million, two hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22022269 44044538 88089076 110111345 220222690 440445380 550556725 1101113450 2202226900