Search a number
-
+
22011194880 = 293352979139
BaseRepresentation
bin10100011111111110…
…000010111000000000
32002210222221112222000
4110133332002320000
5330034331214010
614040052144000
71406313032553
oct243776027000
962728845860
1022011194880
119375822554
124323608000
1320ca27168c
1410cb45669a
1588c5e07c0
hex51ff82e00

22011194880 has 640 divisors, whose sum is σ = 82494720000. Its totient is φ = 5555257344.

The previous prime is 22011194869. The next prime is 22011194929. The reversal of 22011194880 is 8849111022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158353851 + ... + 158353989.

It is an arithmetic number, because the mean of its divisors is an integer number (128898000).

Almost surely, 222011194880 is an apocalyptic number.

22011194880 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 22011194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360000).

22011194880 is an abundant number, since it is smaller than the sum of its proper divisors (60483525120).

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

22011194880 is a wasteful number, since it uses less digits than its factorization.

22011194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 22011194880 in words is "twenty-two billion, eleven million, one hundred ninety-four thousand, eight hundred eighty".