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22406010101 = 61544967409
BaseRepresentation
bin10100110111100000…
…001001010011110101
32010211111212020121222
4110313200021103311
5331341414310401
614143154320125
71422145641416
oct246740112365
963744766558
1022406010101
119558677022
124413889045
132160cb9057
141127a6b80d
158b20ccc1b
hex5378094f5

22406010101 has 8 divisors (see below), whose sum is σ = 22777839000. Its totient is φ = 22034327040.

The previous prime is 22406010061. The next prime is 22406010113. The reversal of 22406010101 is 10101060422.

It can be written as a sum of positive squares in 4 ways, for example, as 77880625 + 22328129476 = 8825^2 + 149426^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22406010101 - 234 = 5226140917 is a prime.

It is a super-2 number, since 2×224060101012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22406010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406010701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298685 + ... + 366093.

It is an arithmetic number, because the mean of its divisors is an integer number (2847229875).

Almost surely, 222406010101 is an apocalyptic number.

It is an amenable number.

22406010101 is a deficient number, since it is larger than the sum of its proper divisors (371828899).

22406010101 is an equidigital number, since it uses as much as digits as its factorization.

22406010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72919.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22406010101 its reverse (10101060422), we get a palindrome (32507070523).

The spelling of 22406010101 in words is "twenty-two billion, four hundred six million, ten thousand, one hundred one".

Divisors: 1 61 5449 67409 332389 4111949 367311641 22406010101