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222418404 = 2232131373469
BaseRepresentation
bin11010100000111…
…01010111100100
3120111112000200200
431100131113210
5423414342104
634023110500
75340345105
oct1520352744
9514460620
10222418404
1110460526a
12625a2430
1337106430
142177a3ac
15147d6b39
hexd41d5e4

222418404 has 72 divisors (see below), whose sum is σ = 610067640. Its totient is φ = 67917312.

The previous prime is 222418367. The next prime is 222418423. The reversal of 222418404 is 404814222.

222418404 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 4 ways, for example, as 1004004 + 221414400 = 1002^2 + 14880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62382 + ... + 65850.

Almost surely, 2222418404 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 222418404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305033820).

222418404 is an abundant number, since it is smaller than the sum of its proper divisors (387649236).

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

222418404 is a wasteful number, since it uses less digits than its factorization.

222418404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 222418404 is about 14913.6985352393. The cubic root of 222418404 is about 605.8850548252.

The spelling of 222418404 in words is "two hundred twenty-two million, four hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 468 548 822 1233 1644 1781 2466 3469 3562 4932 5343 6938 7124 10407 10686 13876 16029 20814 21372 31221 32058 41628 45097 62442 64116 90194 124884 135291 180388 270582 405873 475253 541164 811746 950506 1425759 1623492 1901012 2851518 4277277 5703036 6178289 8554554 12356578 17109108 18534867 24713156 37069734 55604601 74139468 111209202 222418404