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222730020864 = 2113513173199
BaseRepresentation
bin1100111101101110111…
…1100110100000000000
3210021220102211101100000
43033123233212200000
512122122341131424
6250153141200000
722043312640261
oct3173357464000
9707812741300
10222730020864
118650632130a
12371bba00000
1318007491b70
14aaccbb2968
155bd8c053c9
hex33dbbe6800

222730020864 has 576 divisors, whose sum is σ = 726210576000. Its totient is φ = 67793780736.

The previous prime is 222730020857. The next prime is 222730020893. The reversal of 222730020864 is 468020037222.

It is a happy number.

222730020864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1119246237 + ... + 1119246435.

It is an arithmetic number, because the mean of its divisors is an integer number (1260782250).

Almost surely, 2222730020864 is an apocalyptic number.

222730020864 is a gapful number since it is divisible by the number (24) 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 222730020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363105288000).

222730020864 is an abundant number, since it is smaller than the sum of its proper divisors (503480555136).

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

222730020864 is a wasteful number, since it uses less digits than its factorization.

222730020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 222730020864 in words is "two hundred twenty-two billion, seven hundred thirty million, twenty thousand, eight hundred sixty-four".