Search a number
-
+
22316395816 = 23111331253383
BaseRepresentation
bin10100110010001010…
…010010110100101000
32010121021020100221101
4110302022102310220
5331200444131231
614130233451144
71420010143321
oct246212226450
963537210841
1022316395816
119512029530
1243a9870ab4
132148570850
141119bc1448
158a92ca661
hex532292d28

22316395816 has 192 divisors, whose sum is σ = 51888936960. Its totient is φ = 8867289600.

The previous prime is 22316395769. The next prime is 22316395819. The reversal of 22316395816 is 61859361322.

It is a super-3 number, since 3×223163958163 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22316395819) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58267161 + ... + 58267543.

It is an arithmetic number, because the mean of its divisors is an integer number (270254880).

Almost surely, 222316395816 is an apocalyptic number.

22316395816 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 22316395816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944468480).

22316395816 is an abundant number, since it is smaller than the sum of its proper divisors (29572541144).

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

22316395816 is a wasteful number, since it uses less digits than its factorization.

22316395816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 493 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The spelling of 22316395816 in words is "twenty-two billion, three hundred sixteen million, three hundred ninety-five thousand, eight hundred sixteen".