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221101122 = 23112378231
BaseRepresentation
bin11010010110110…
…11110001000010
3120102001002201110
431023123301002
5423100213442
633534544150
75323220454
oct1513336102
9512032643
10221101122
11103895600
1262068056
1336a64988
14215162d4
151462669c
hexd2dbc42

221101122 has 48 divisors (see below), whose sum is σ = 499254336. Its totient is φ = 65181600.

The previous prime is 221101117. The next prime is 221101129.

221101122 is nontrivially palindromic in base 10.

221101122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211011222 = 97771412299317768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221101098 and 221101107.

It is not an unprimeable number, because it can be changed into a prime (221101129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22747 + ... + 30977.

It is an arithmetic number, because the mean of its divisors is an integer number (10401132).

Almost surely, 2221101122 is an apocalyptic number.

221101122 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 221101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249627168).

221101122 is an abundant number, since it is smaller than the sum of its proper divisors (278153214).

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

221101122 is a wasteful number, since it uses less digits than its factorization.

221101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 221101122 is about 14869.4694592645. The cubic root of 221101122 is about 604.6865594027.

It can be divided in two parts, 22110 and 1122, that added together give a palindrome (23232).

The spelling of 221101122 in words is "two hundred twenty-one million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8231 8954 13431 16462 24693 26862 49386 90541 181082 271623 304547 543246 609094 913641 995951 1827282 1991902 2987853 3350017 5975706 6700034 10050051 20100102 36850187 73700374 110550561 221101122