Search a number
-
+
210222210002220 = 223351328053286049
BaseRepresentation
bin101111110011001000101100…
…001001101010110100101100
31000120100001021021012000021000
4233303020230021222310230
5210023240041230032340
62023034430002040300
762165024223561153
oct5763105411526454
91016301237160230
10210222210002220
1160a8a8140789a9
121b6b2580949090
13903bb3bc35400
1439cab4883c59a
151948567217d30
hexbf322c26ad2c

210222210002220 has 288 divisors, whose sum is σ = 708294629448000. Its totient is φ = 51740398854144.

The previous prime is 210222210002209. The next prime is 210222210002221. The reversal of 210222210002220 is 22200012222012.

210222210002220 is a `hidden beast` number, since 2 + 10 + 222 + 210 + 0 + 0 + 2 + 220 = 666.

210222210002220 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 2×2102222100022202 (a number of 29 digits) contains 22 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 = 210222210002193 and 210222210002202.

It is not an unprimeable number, because it can be changed into a prime (210222210002221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 734773756 + ... + 735059804.

It is an arithmetic number, because the mean of its divisors is an integer number (2459356352250).

Almost surely, 2210222210002220 is an apocalyptic number.

210222210002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210222210002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354147314724000).

210222210002220 is an abundant number, since it is smaller than the sum of its proper divisors (498072419445780).

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

210222210002220 is a wasteful number, since it uses less digits than its factorization.

210222210002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294146 (or 294125 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 210222210002220 its reverse (22200012222012), we get a palindrome (232422222224232).

The spelling of 210222210002220 in words is "two hundred ten trillion, two hundred twenty-two billion, two hundred ten million, two thousand, two hundred twenty".