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222103220 = 225313371063
BaseRepresentation
bin11010011110100…
…00011010110100
3120110221000100012
431033100122310
5423324300340
634012235352
75334563153
oct1517203264
9513830305
10222103220
1110440a489
126246bb58
1337025b31
14216d759a
1514773565
hexd3d06b4

222103220 has 48 divisors (see below), whose sum is σ = 483345408. Its totient is φ = 85639680.

The previous prime is 222103187. The next prime is 222103229. The reversal of 222103220 is 22301222.

222103220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222103195 and 222103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222103229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208409 + ... + 209471.

It is an arithmetic number, because the mean of its divisors is an integer number (10069696).

Almost surely, 2222103220 is an apocalyptic number.

222103220 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 222103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241672704).

222103220 is an abundant number, since it is smaller than the sum of its proper divisors (261242188).

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

222103220 is a wasteful number, since it uses less digits than its factorization.

222103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 222103220 is about 14903.1278596139. The cubic root of 222103220 is about 605.5987242774.

Adding to 222103220 its reverse (22301222), we get a palindrome (244404442).

The spelling of 222103220 in words is "two hundred twenty-two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 337 620 674 1063 1348 1685 2126 3370 4252 5315 6740 10447 10630 20894 21260 32953 41788 52235 65906 104470 131812 164765 208940 329530 358231 659060 716462 1432924 1791155 3582310 7164620 11105161 22210322 44420644 55525805 111051610 222103220