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222144412 = 227531071399
BaseRepresentation
bin11010011110110…
…10011110011100
3120111000002211211
431033122132130
5423332110122
634013154204
75335124230
oct1517323634
9514002754
10222144412
11104438426
126248b964
133703b7c9
14217085c0
1514780877
hexd3da79c

222144412 has 48 divisors (see below), whose sum is σ = 457228800. Its totient is φ = 92469312.

The previous prime is 222144383. The next prime is 222144413. The reversal of 222144412 is 214441222.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222144413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158089 + ... + 159487.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2222144412 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 222144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

222144412 is an abundant number, since it is smaller than the sum of its proper divisors (235084388).

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

222144412 is a wasteful number, since it uses less digits than its factorization.

222144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 222144412 is about 14904.5097873093. The cubic root of 222144412 is about 605.6361607460.

Adding to 222144412 its reverse (214441222), we get a palindrome (436585634).

The spelling of 222144412 in words is "two hundred twenty-two million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 53 106 107 212 214 371 428 742 749 1399 1484 1498 2798 2996 5596 5671 9793 11342 19586 22684 39172 39697 74147 79394 148294 149693 158788 296588 299386 519029 598772 1038058 1047851 2076116 2095702 4191404 7933729 15867458 31734916 55536103 111072206 222144412