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2214030304122 = 2371359223311991
BaseRepresentation
bin100000001101111110011…
…111010110001101111010
321211122210120121211110220
4200031332133112031322
5242233313224212442
64413040025120510
7315646510033560
oct40157637261572
97748716554426
102214030304122
11783a6842914a
122b9116329136
13130a22542940
1479234095a30
153c8d306deec
hex2037e7d637a

2214030304122 has 256 divisors, whose sum is σ = 5590682173440. Its totient is φ = 569036793600.

The previous prime is 2214030304111. The next prime is 2214030304133.

It is a happy number.

2214030304122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2214030304111) and next prime (2214030304133).

It is a junction number, because it is equal to n+sod(n) for n = 2214030304092 and 2214030304101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2234137047 + ... + 2234138037.

It is an arithmetic number, because the mean of its divisors is an integer number (21838602240).

Almost surely, 22214030304122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214030304122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795341086720).

2214030304122 is an abundant number, since it is smaller than the sum of its proper divisors (3376651869318).

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

2214030304122 is a wasteful number, since it uses less digits than its factorization.

2214030304122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2214030 and 304122, that added together give a palindrome (2518152).

The spelling of 2214030304122 in words is "two trillion, two hundred fourteen billion, thirty million, three hundred four thousand, one hundred twenty-two".