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221001222112 = 25111016216281
BaseRepresentation
bin1100110111010010110…
…0110000011111100000
3210010102221210022021121
43031310230300133200
512110102303101422
6245305423102024
721652421251546
oct3156454603740
9703387708247
10221001222112
11857a9479210
12369b8a41914
1317ac0271318
14a9a7351d96
155b370638c7
hex3374b307e0

221001222112 has 48 divisors (see below), whose sum is σ = 479349937584. Its totient is φ = 99460480000.

The previous prime is 221001222107. The next prime is 221001222139. The reversal of 221001222112 is 211222100122.

It is a happy number.

221001222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3072589 + ... + 3143692.

It is an arithmetic number, because the mean of its divisors is an integer number (9986457033).

Almost surely, 2221001222112 is an apocalyptic number.

221001222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221001222112 is an abundant number, since it is smaller than the sum of its proper divisors (258348715472).

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

221001222112 is a wasteful number, since it uses less digits than its factorization.

221001222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216403 (or 6216395 counting only the distinct ones).

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

Adding to 221001222112 its reverse (211222100122), we get a palindrome (432223322234).

It can be divided in two parts, 22100122 and 2112, that multiplied together give a palindrome (46675457664).

The spelling of 221001222112 in words is "two hundred twenty-one billion, one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8888 17776 35552 6216281 12432562 24865124 49730248 68379091 99460496 136758182 198920992 273516364 547032728 627844381 1094065456 1255688762 2188130912 2511377524 5022755048 6906288191 10045510096 13812576382 20091020192 27625152764 55250305528 110500611056 221001222112