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222740534016 = 283573111373
BaseRepresentation
bin1100111101110001011…
…1101101001100000000
3210021221011121111200000
43033130113231030000
512122133034042031
6250154154400000
722043501205000
oct3173427551400
9707834544600
10222740534016
1186511251a70
1237203430000
1318009703170
14aad034c000
155bd9ad03e6
hex33dc5ed300

222740534016 has 1728 divisors, whose sum is σ = 924960691200. Its totient is φ = 52672757760.

The previous prime is 222740533999. The next prime is 222740534047. The reversal of 222740534016 is 610435047222.

222740534016 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 (1728).

It is a super-2 number, since 2×2227405340162 (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3051240156 + ... + 3051240228.

Almost surely, 2222740534016 is an apocalyptic number.

222740534016 is a gapful number since it is divisible by the number (26) 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 222740534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462480345600).

222740534016 is an abundant number, since it is smaller than the sum of its proper divisors (702220157184).

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

222740534016 is an equidigital number, since it uses as much as digits as its factorization.

222740534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 222740534016 in words is "two hundred twenty-two billion, seven hundred forty million, five hundred thirty-four thousand, sixteen".