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222330240 = 2732511329
BaseRepresentation
bin11010100000001…
…11110110000000
3120111100112202100
431100013312000
5423404031430
634021150400
75336530056
oct1520076600
9514315670
10222330240
11104555000
126255b400
13370a5272
14217561d6
15147ba960
hexd407d80

222330240 has 384 divisors, whose sum is σ = 873568800. Its totient is φ = 52039680.

The previous prime is 222330223. The next prime is 222330263. The reversal of 222330240 is 42033222.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7666546 + ... + 7666574.

Almost surely, 2222330240 is an apocalyptic number.

222330240 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 222330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436784400).

222330240 is an abundant number, since it is smaller than the sum of its proper divisors (651238560).

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

222330240 is a wasteful number, since it uses less digits than its factorization.

222330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 222330240 is about 14910.7424362437. The cubic root of 222330240 is about 605.8049890445.

Adding to 222330240 its reverse (42033222), we get a palindrome (264363462).

The spelling of 222330240 in words is "two hundred twenty-two million, three hundred thirty thousand, two hundred forty".