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222842013240 = 2335711173145763
BaseRepresentation
bin1100111110001001101…
…0110100011000111000
3210022012020120011222210
43033202122310120320
512122340023410430
6250212221415120
722046142600540
oct3174232643070
9708166504883
10222842013240
11865635638a0
123723140a4a0
1318024744042
14aadda06320
155be39782b0
hex33e26b4638

222842013240 has 512 divisors, whose sum is σ = 911003811840. Its totient is φ = 42174259200.

The previous prime is 222842013227. The next prime is 222842013241. The reversal of 222842013240 is 42310248222.

222842013240 is digitally balanced in base 2, because in such base 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 222842013198 and 222842013207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222842013241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4846599 + ... + 4892361.

It is an arithmetic number, because the mean of its divisors is an integer number (1779304320).

Almost surely, 2222842013240 is an apocalyptic number.

222842013240 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 222842013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455501905920).

222842013240 is an abundant number, since it is smaller than the sum of its proper divisors (688161798600).

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

222842013240 is a wasteful number, since it uses less digits than its factorization.

222842013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45843 (or 45839 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 222842013240 in words is "two hundred twenty-two billion, eight hundred forty-two million, thirteen thousand, two hundred forty".