Search a number
-
+
2210102222130 = 2325113774598089
BaseRepresentation
bin100000001010010100010…
…110111001110100110010
321211021122211020120222200
4200022110112321310302
5242202242132102010
64411150144444030
7315450251632515
oct40122426716462
97737584216880
102210102222130
117823320a5aa0
122b83ba919616
131305477b1a7a
1478d80502d7c
153c7532a2cc0
hex202945b9d32

2210102222130 has 192 divisors, whose sum is σ = 6439735785600. Its totient is φ = 521167426560.

The previous prime is 2210102222129. The next prime is 2210102222183. The reversal of 2210102222130 is 312222010122.

2210102222130 is a `hidden beast` number, since 2 + 210 + 102 + 222 + 130 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273219126 + ... + 273227214.

It is an arithmetic number, because the mean of its divisors is an integer number (33540290550).

Almost surely, 22210102222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210102222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219867892800).

2210102222130 is an abundant number, since it is smaller than the sum of its proper divisors (4229633563470).

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

2210102222130 is a wasteful number, since it uses less digits than its factorization.

2210102222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15609 (or 15606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2210102222130 its reverse (312222010122), we get a palindrome (2522324232252).

The spelling of 2210102222130 in words is "two trillion, two hundred ten billion, one hundred two million, two hundred twenty-two thousand, one hundred thirty".