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222114100 = 225213170857
BaseRepresentation
bin11010011110100…
…11000100110100
3120110221120021011
431033103010310
5423330122400
634012402004
75334636655
oct1517230464
9513846234
10222114100
1110441767a
1262476304
133702aa80
14216db52c
15147768ba
hexd3d3134

222114100 has 36 divisors (see below), whose sum is σ = 519066604. Its totient is φ = 82010880.

The previous prime is 222114083. The next prime is 222114121. The reversal of 222114100 is 1411222.

It is a happy number.

222114100 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 6 ways, for example, as 580644 + 221533456 = 762^2 + 14884^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84129 + ... + 86728.

Almost surely, 2222114100 is an apocalyptic number.

222114100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222114100 is an abundant number, since it is smaller than the sum of its proper divisors (296952504).

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

222114100 is a wasteful number, since it uses less digits than its factorization.

222114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170884 (or 170877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 222114100 is about 14903.4928791878. The cubic root of 222114100 is about 605.6086127826.

Adding to 222114100 its reverse (1411222), we get a palindrome (223525322).

The spelling of 222114100 in words is "two hundred twenty-two million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 170857 341714 683428 854285 1708570 2221141 3417140 4271425 4442282 8542850 8884564 11105705 17085700 22211410 44422820 55528525 111057050 222114100