Search a number
-
+
22263306416 = 2413437135059
BaseRepresentation
bin10100101110111111…
…110001100010110000
32010110120100010222022
4110232333301202300
5331043401301131
614121055531012
71415463660611
oct245677614260
963416303868
1022263306416
11949506869a
124393b29a68
13213a5731c0
141112b21c08
158a47e037b
hex52eff18b0

22263306416 has 80 divisors (see below), whose sum is σ = 48204414720. Its totient is φ = 9894769920.

The previous prime is 22263306413. The next prime is 22263306419. The reversal of 22263306416 is 61460336222.

It is an interprime number because it is at equal distance from previous prime (22263306413) and next prime (22263306419).

It is not an unprimeable number, because it can be changed into a prime (22263306413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 617495 + ... + 652553.

It is an arithmetic number, because the mean of its divisors is an integer number (602555184).

Almost surely, 222263306416 is an apocalyptic number.

22263306416 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 22263306416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24102207360).

22263306416 is an abundant number, since it is smaller than the sum of its proper divisors (25941108304).

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

22263306416 is a wasteful number, since it uses less digits than its factorization.

22263306416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35194 (or 35188 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 22263306416 in words is "twenty-two billion, two hundred sixty-three million, three hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 43 52 71 86 104 142 172 208 284 344 559 568 688 923 1118 1136 1846 2236 3053 3692 4472 6106 7384 8944 12212 14768 24424 35059 39689 48848 70118 79378 140236 158756 280472 317512 455767 560944 635024 911534 1507537 1823068 2489189 3015074 3646136 4978378 6030148 7292272 9956756 12060296 19597981 19913512 24120592 32359457 39195962 39827024 64718914 78391924 107035127 129437828 156783848 214070254 258875656 313567696 428140508 517751312 856281016 1391456651 1712562032 2782913302 5565826604 11131653208 22263306416