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222013020000 = 2535423160879
BaseRepresentation
bin1100111011000100000…
…0011101011101100000
3210020001110122222001110
43032301000131131200
512114140313120000
6245554045303320
722016455350612
oct3166100353540
9706043588043
10222013020000
118617861aa12
123703b864b40
1317c21a7c4b5
14aa61890db2
155b95cc5850
hex33b101d760

222013020000 has 240 divisors, whose sum is σ = 759914749440. Its totient is φ = 56629056000.

The previous prime is 222013019947. The next prime is 222013020007. The reversal of 222013020000 is 20310222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222013020007) 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 39 ways as a sum of consecutive naturals, for example, 1299561 + ... + 1460439.

It is an arithmetic number, because the mean of its divisors is an integer number (3166311456).

Almost surely, 2222013020000 is an apocalyptic number.

222013020000 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 222013020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379957374720).

222013020000 is an abundant number, since it is smaller than the sum of its proper divisors (537901729440).

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

222013020000 is a wasteful number, since it uses less digits than its factorization.

222013020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160935 (or 160912 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 222013020000 its reverse (20310222), we get a palindrome (222033330222).

The spelling of 222013020000 in words is "two hundred twenty-two billion, thirteen million, twenty thousand".