Search a number
-
+
22110202222100 = 2252221102022221
BaseRepresentation
bin1010000011011111011101…
…01111111101011000010100
32220021201022000020021120022
411001233232233331120110
510344223143232101400
6115005141531124312
74441260264661136
oct501575657753024
986251260207508
1022110202222100
11705497a819433
122591131ba3698
13c44ca1bc9845
145661d4ad1056
1528520caa3b85
hex141beebfd614

22110202222100 has 18 divisors (see below), whose sum is σ = 47979138822174. Its totient is φ = 8844080888800.

The previous prime is 22110202222063. The next prime is 22110202222109. The reversal of 22110202222100 is 122220201122.

It is a happy number.

22110202222100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 148269663364 + 21961932558736 = 385058^2 + 4686356^2 .

It is a super-2 number, since 2×221102022221002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110202222109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110551011011 + ... + 110551011210.

It is an arithmetic number, because the mean of its divisors is an integer number (2665507712343).

Almost surely, 222110202222100 is an apocalyptic number.

22110202222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110202222100 is an abundant number, since it is smaller than the sum of its proper divisors (25868936600074).

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

22110202222100 is a wasteful number, since it uses less digits than its factorization.

22110202222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221102022235 (or 221102022228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22110202222100 its reverse (122220201122), we get a palindrome (22232422423222).

The spelling of 22110202222100 in words is "twenty-two trillion, one hundred ten billion, two hundred two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221102022221 442204044442 884408088884 1105510111105 2211020222210 4422040444420 5527550555525 11055101111050 22110202222100