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22268886222 = 23112831013659
BaseRepresentation
bin10100101111010101…
…000011110011001110
32010110221211122000210
4110233111003303032
5331101313324342
614121415303250
71415562260352
oct245725036316
963427748023
1022268886222
119498229900
12439597ab26
13213b777b6b
141113775462
158a504379c
hex52f543cce

22268886222 has 96 divisors (see below), whose sum is σ = 50048772480. Its totient is φ = 6599032000.

The previous prime is 22268886221. The next prime is 22268886223.

22268886222 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22268886221) and next prime (22268886223).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22268886221) 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 47 ways as a sum of consecutive naturals, for example, 6084229 + ... + 6087887.

It is an arithmetic number, because the mean of its divisors is an integer number (521341380).

Almost surely, 222268886222 is an apocalyptic number.

22268886222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22268886222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25024386240).

22268886222 is an abundant number, since it is smaller than the sum of its proper divisors (27779886258).

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

22268886222 is a wasteful number, since it uses less digits than its factorization.

22268886222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3859 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 22268886222 in words is "twenty-two billion, two hundred sixty-eight million, eight hundred eighty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 83 101 121 166 202 242 249 303 363 498 606 726 913 1111 1826 2222 2739 3333 3659 5478 6666 7318 8383 10043 10977 12221 16766 20086 21954 24442 25149 30129 36663 40249 50298 60258 73326 80498 92213 120747 184426 241494 276639 303697 369559 442739 553278 607394 739118 885478 911091 1014343 1108677 1328217 1822182 2028686 2217354 2656434 3043029 3340667 4065149 6086058 6681334 8130298 10022001 12195447 20044002 24390894 30673397 36747337 44716639 61346794 73494674 89433278 92020191 110242011 134149917 184040382 220484022 268299834 337407367 674814734 1012222101 2024444202 3711481037 7422962074 11134443111 22268886222