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2226556900 = 225222265569
BaseRepresentation
bin1000010010110110…
…1000111111100100
312202011122210212101
42010231220333210
514024444310100
61004534501444
7106114264351
oct20455507744
95664583771
102226556900
11a42919177
12521804884
1329639c3b9
141719d1628
15d071586a
hex84b68fe4

2226556900 has 18 divisors (see below), whose sum is σ = 4831628690. Its totient is φ = 890622720.

The previous prime is 2226556873. The next prime is 2226556903. The reversal of 2226556900 is 96556222.

2226556900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 40246336 + 2186310564 = 6344^2 + 46758^2 .

It is a super-2 number, since 2×22265569002 = 9915111257875220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2226556900.

It is not an unprimeable number, because it can be changed into a prime (2226556903) 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, 11132685 + ... + 11132884.

Almost surely, 22226556900 is an apocalyptic number.

2226556900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226556900 is an abundant number, since it is smaller than the sum of its proper divisors (2605071790).

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

2226556900 is a wasteful number, since it uses less digits than its factorization.

2226556900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22265583 (or 22265576 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 2226556900 is about 47186.4058813553. The cubic root of 2226556900 is about 1305.8038137890.

The spelling of 2226556900 in words is "two billion, two hundred twenty-six million, five hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22265569 44531138 89062276 111327845 222655690 445311380 556639225 1113278450 2226556900