Search a number
-
+
22316030016 = 263731731643
BaseRepresentation
bin10100110010001000…
…111001100001000000
32010121020112210011020
4110302020321201000
5331200400430031
614130221545440
71420004061000
oct246210714100
963536483136
1022316030016
1195118a9715
1243a9715280
1321484731b7
141119b28000
158a9257096
hex532239840

22316030016 has 448 divisors, whose sum is σ = 75375820800. Its totient is φ = 5798338560.

The previous prime is 22316029987. The next prime is 22316030021. The reversal of 22316030016 is 61003061322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×223160300163 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 34705791 + ... + 34706433.

It is an arithmetic number, because the mean of its divisors is an integer number (168249600).

Almost surely, 222316030016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22316030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37687910400).

22316030016 is an abundant number, since it is smaller than the sum of its proper divisors (53059790784).

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

22316030016 is a wasteful number, since it uses less digits than its factorization.

22316030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22316030016 its reverse (61003061322), we get a palindrome (83319091338).

The spelling of 22316030016 in words is "twenty-two billion, three hundred sixteen million, thirty thousand, sixteen".