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221200122 = 2311131032503
BaseRepresentation
bin11010010111100…
…11111011111010
3120102020010112010
431023303323322
5423111400442
633541030350
75324112213
oct1513637372
9512203463
10221200122
11103952a20
12620b53b6
1336a9aa60
142154040a
1514645b9c
hexd2f3efa

221200122 has 64 divisors (see below), whose sum is σ = 524998656. Its totient is φ = 61248960.

The previous prime is 221200121. The next prime is 221200123. The reversal of 221200122 is 221002122.

It is an interprime number because it is at equal distance from previous prime (221200121) and next prime (221200123).

It is a junction number, because it is equal to n+sod(n) for n = 221200098 and 221200107.

It is not an unprimeable number, because it can be changed into a prime (221200121) 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 31 ways as a sum of consecutive naturals, for example, 87123 + ... + 89625.

It is an arithmetic number, because the mean of its divisors is an integer number (8203104).

Almost surely, 2221200122 is an apocalyptic number.

221200122 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 221200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262499328).

221200122 is an abundant number, since it is smaller than the sum of its proper divisors (303798534).

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

221200122 is a wasteful number, since it uses less digits than its factorization.

221200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221200122 is about 14872.7980555106. The cubic root of 221200122 is about 604.7767972031.

Adding to 221200122 its reverse (221002122), we get a palindrome (442202244).

The spelling of 221200122 in words is "two hundred twenty-one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 103 143 206 286 309 429 618 858 1133 1339 2266 2503 2678 3399 4017 5006 6798 7509 8034 14729 15018 27533 29458 32539 44187 55066 65078 82599 88374 97617 165198 195234 257809 357929 515618 715858 773427 1073787 1546854 2147574 2835899 3351517 5671798 6703034 8507697 10054551 17015394 20109102 36866687 73733374 110600061 221200122