Search a number
-
+
221101212222 = 233111879198097
BaseRepresentation
bin1100110111101010101…
…0001100001000111110
3210010200220221022221000
43031322222030020332
512110303402242342
6245323354151130
721655044203112
oct3157252141076
9703626838830
10221101212222
118584a963270
1236a264224a6
1317b07bb0477
14a9b673d742
155b40c1544c
hex337aa8c23e

221101212222 has 64 divisors (see below), whose sum is σ = 536290905600. Its totient is φ = 66964371840.

The previous prime is 221101212221. The next prime is 221101212223. The reversal of 221101212222 is 222212101122.

It is a happy number.

221101212222 is a `hidden beast` number, since 221 + 10 + 1 + 212 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (221101212221) and next prime (221101212223).

It is a super-3 number, since 3×2211012122223 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221101212195 and 221101212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017078 + ... + 1215174.

It is an arithmetic number, because the mean of its divisors is an integer number (8379545400).

Almost surely, 2221101212222 is an apocalyptic number.

221101212222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221101212222 is an abundant number, since it is smaller than the sum of its proper divisors (315189693378).

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

221101212222 is a wasteful number, since it uses less digits than its factorization.

221101212222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199998 (or 199992 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221101212222 its reverse (222212101122), we get a palindrome (443313313344).

Subtracting 221101212222 from its reverse (222212101122), we obtain a square (1110888900 = 333302).

The spelling of 221101212222 in words is "two hundred twenty-one billion, one hundred one million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1879 3758 5637 11274 16911 20669 33822 41338 50733 62007 101466 124014 186021 198097 372042 396194 558063 594291 1116126 1188582 1782873 2179067 3565746 4358134 5348619 6537201 10697238 13074402 19611603 39223206 58834809 117669618 372224263 744448526 1116672789 2233345578 3350018367 4094466893 6700036734 8188933786 10050055101 12283400679 20100110202 24566801358 36850202037 73700404074 110550606111 221101212222