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222242101440 = 26358313720359
BaseRepresentation
bin1100111011111010101…
…0010101100011000000
3210020122102201111201020
43032332222111203000
512120122434221230
6250032511305440
722025236456542
oct3167652254300
9706572644636
10222242101440
1186285966217
12370a451b280
1317c5a379648
14aa84083692
155baae76810
hex33bea958c0

222242101440 has 224 divisors, whose sum is σ = 719367989760. Its totient is φ = 58120298496.

The previous prime is 222242101427. The next prime is 222242101469. The reversal of 222242101440 is 44101242222.

It is a happy number.

222242101440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222242101440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10905981 + ... + 10926339.

It is an arithmetic number, because the mean of its divisors is an integer number (3211464240).

Almost surely, 2222242101440 is an apocalyptic number.

222242101440 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 222242101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359683994880).

222242101440 is an abundant number, since it is smaller than the sum of its proper divisors (497125888320).

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

222242101440 is a wasteful number, since it uses less digits than its factorization.

222242101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20599 (or 20589 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 222242101440 its reverse (44101242222), we get a palindrome (266343343662).

The spelling of 222242101440 in words is "two hundred twenty-two billion, two hundred forty-two million, one hundred one thousand, four hundred forty".