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22222011112 = 2377110155337
BaseRepresentation
bin10100101100100010…
…001111101011101000
32010100200122010110121
4110230202033223220
5331002313323422
614113022453024
71414452656260
oct245442175350
963320563417
1022222011112
119473822944
124382134174
132131b44c02
14110b4527a0
158a0d848c7
hex52c88fae8

22222011112 has 64 divisors (see below), whose sum is σ = 48768272640. Its totient is φ = 9296448000.

The previous prime is 22222011079. The next prime is 22222011209. The reversal of 22222011112 is 21111022222.

It is a happy number.

It is a super-3 number, since 3×222220111123 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373908 + ... + 429244.

It is an arithmetic number, because the mean of its divisors is an integer number (762004260).

Almost surely, 222222011112 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 22222011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384136320).

22222011112 is an abundant number, since it is smaller than the sum of its proper divisors (26546261528).

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

22222011112 is a wasteful number, since it uses less digits than its factorization.

22222011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55522 (or 55518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22222011112 its reverse (21111022222), we get a palindrome (43333033334).

It can be divided in two parts, 222220 and 11112, that added together give a palindrome (233332).

The spelling of 22222011112 in words is "twenty-two billion, two hundred twenty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 71 101 142 202 284 404 497 568 707 808 994 1414 1988 2828 3976 5656 7171 14342 28684 50197 55337 57368 100394 110674 200788 221348 387359 401576 442696 774718 1549436 3098872 3928927 5589037 7857854 11178074 15715708 22356148 27502489 31431416 39123259 44712296 55004978 78246518 110009956 156493036 220019912 312986072 396821627 793643254 1587286508 2777751389 3174573016 5555502778 11111005556 22222011112