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2142212310 = 2325729373169
BaseRepresentation
bin111111110101111…
…1001000011010110
312112021221122211200
41333223321003112
513341401243220
6552323013330
7104041334640
oct17753710326
95467848750
102142212310
119aa24a8a7
124b950a246
13281a7a664
14164717890
15c8104890
hex7faf90d6

2142212310 has 192 divisors, whose sum is σ = 6765033600. Its totient is φ = 459841536.

The previous prime is 2142212309. The next prime is 2142212329. The reversal of 2142212310 is 132122412.

It is a happy number.

2142212310 is a `hidden beast` number, since 2 + 142 + 212 + 310 = 666.

It is a super-2 number, since 2×21422123102 = 9178147162231072200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

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, 674406 + ... + 677574.

It is an arithmetic number, because the mean of its divisors is an integer number (35234550).

Almost surely, 22142212310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382516800).

2142212310 is an abundant number, since it is smaller than the sum of its proper divisors (4622821290).

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

2142212310 is a wasteful number, since it uses less digits than its factorization.

2142212310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3252 counting only the distinct ones).

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

The square root of 2142212310 is about 46284.0394736674. The cubic root of 2142212310 is about 1289.1026569925.

Adding to 2142212310 its reverse (132122412), we get a palindrome (2274334722).

The spelling of 2142212310 in words is "two billion, one hundred forty-two million, two hundred twelve thousand, three hundred ten".