Search a number
-
+
222940080 = 24335112853
BaseRepresentation
bin11010100100111…
…00101110110000
3120112111112022000
431102130232300
5424033040310
634042214000
75344650036
oct1522345660
9515445260
10222940080
11104931200
12627b4300
1337259a0c
1421874556
151488b4c0
hexd49cbb0

222940080 has 240 divisors, whose sum is σ = 845050080. Its totient is φ = 53982720.

The previous prime is 222940063. The next prime is 222940093. The reversal of 222940080 is 80049222.

222940080 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 (240).

It is a super-3 number, since 3×2229400803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260934 + ... + 261786.

It is an arithmetic number, because the mean of its divisors is an integer number (3521042).

Almost surely, 2222940080 is an apocalyptic number.

222940080 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 222940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422525040).

222940080 is an abundant number, since it is smaller than the sum of its proper divisors (622110000).

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

222940080 is a wasteful number, since it uses less digits than its factorization.

222940080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 222940080 is about 14931.1781182866. The cubic root of 222940080 is about 606.3583803118.

The spelling of 222940080 in words is "two hundred twenty-two million, nine hundred forty thousand, eighty".