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222414104 = 23113783823
BaseRepresentation
bin11010100000111…
…00010100011000
3120111111210210102
431100130110120
5423414222404
634023034532
75340326423
oct1520342430
9514453712
10222414104
11104602010
126259ba48
13371044a3
14217789ba
15147d571e
hexd41c518

222414104 has 64 divisors (see below), whose sum is σ = 473437440. Its totient is φ = 97061760.

The previous prime is 222414097. The next prime is 222414109. The reversal of 222414104 is 401414222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222414109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269837 + ... + 270659.

It is an arithmetic number, because the mean of its divisors is an integer number (7397460).

Almost surely, 2222414104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236718720).

222414104 is an abundant number, since it is smaller than the sum of its proper divisors (251023336).

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

222414104 is a wasteful number, since it uses less digits than its factorization.

222414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 222414104 is about 14913.5543717787. The cubic root of 222414104 is about 605.8811502884.

Adding to 222414104 its reverse (401414222), we get a palindrome (623828326).

The spelling of 222414104 in words is "two hundred twenty-two million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 11 22 37 44 74 83 88 148 166 296 332 407 664 814 823 913 1628 1646 1826 3071 3256 3292 3652 6142 6584 7304 9053 12284 18106 24568 30451 33781 36212 60902 67562 68309 72424 121804 135124 136618 243608 270248 273236 334961 546472 669922 751399 1339844 1502798 2527433 2679688 3005596 5054866 6011192 10109732 20219464 27801763 55603526 111207052 222414104