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2211222112 = 25116919091
BaseRepresentation
bin1000001111001100…
…1001001001100000
312201002210201111021
42003303021021200
514012033101422
61003230055224
7105540035461
oct20363111140
95632721437
102211222112
11a351a49a0
1251864a514
13293160568
1416d95cd68
15ce1d6dc7
hex83cc9260

2211222112 has 48 divisors (see below), whose sum is σ = 4756497984. Its totient is φ = 1003536000.

The previous prime is 2211222103. The next prime is 2211222137. The reversal of 2211222112 is 2112221122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238687 + ... + 247777.

It is an arithmetic number, because the mean of its divisors is an integer number (99093708).

Almost surely, 22211222112 is an apocalyptic number.

2211222112 is a gapful number since it is divisible by the number (22) 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 2211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378248992).

2211222112 is an abundant number, since it is smaller than the sum of its proper divisors (2545275872).

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

2211222112 is a wasteful number, since it uses less digits than its factorization.

2211222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9795 counting only the distinct ones).

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

The square root of 2211222112 is about 47023.6335473983. The cubic root of 2211222112 is about 1302.7991189954.

Adding to 2211222112 its reverse (2112221122), we get a palindrome (4323443234).

It can be divided in two parts, 2 and 211222112, that multiplied together give a palindrome (422444224).

The spelling of 2211222112 in words is "two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 691 1382 2764 5528 7601 9091 11056 15202 18182 22112 30404 36364 60808 72728 100001 121616 145456 200002 243232 290912 400004 800008 1600016 3200032 6281881 12563762 25127524 50255048 69100691 100510096 138201382 201020192 276402764 552805528 1105611056 2211222112