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222120100 = 225216313627
BaseRepresentation
bin11010011110101…
…00100010100100
3120110221212111101
431033110202210
5423330320400
634012445444
75334663316
oct1517244244
9513855441
10222120100
11104421134
1262479884
1337030717
14216dd7b6
151477856a
hexd3d48a4

222120100 has 36 divisors (see below), whose sum is σ = 484993264. Its totient is φ = 88296480.

The previous prime is 222120097. The next prime is 222120133. The reversal of 222120100 is 1021222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9487 + ... + 23113.

Almost surely, 2222120100 is an apocalyptic number.

222120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242496632).

222120100 is an abundant number, since it is smaller than the sum of its proper divisors (262873164).

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

222120100 is a wasteful number, since it uses less digits than its factorization.

222120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13804 (or 13797 counting only the distinct ones).

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

The square root of 222120100 is about 14903.6941729224. The cubic root of 222120100 is about 605.6140658643.

Adding to 222120100 its reverse (1021222), we get a palindrome (223141322).

The spelling of 222120100 in words is "two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 13627 16300 27254 54508 68135 136270 272540 340675 681350 1362700 2221201 4442402 8884804 11106005 22212010 44424020 55530025 111060050 222120100