Search a number
-
+
2231212402314 = 233727919515471
BaseRepresentation
bin100000011101111110100…
…111110110011010001010
321220022011000202212011000
4200131332213312122022
5243024010333333224
64425001013115430
7320125344332400
oct40357647663212
97808130685130
102231212402314
117902852628a5
12300510628b76
13132530192c4c
1479dc4017470
153d08b7160c9
hex2077e9f668a

2231212402314 has 192 divisors, whose sum is σ = 5844831436800. Its totient is φ = 628982172000.

The previous prime is 2231212402291. The next prime is 2231212402343. The reversal of 2231212402314 is 4132042121322.

2231212402314 is a `hidden beast` number, since 2 + 2 + 31 + 212 + 402 + 3 + 14 = 666.

It is a super-3 number, since 3×22312124023143 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407822599 + ... + 407828069.

It is an arithmetic number, because the mean of its divisors is an integer number (30441830400).

Almost surely, 22231212402314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231212402314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922415718400).

2231212402314 is an abundant number, since it is smaller than the sum of its proper divisors (3613619034486).

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

2231212402314 is a wasteful number, since it uses less digits than its factorization.

2231212402314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2231212402314 its reverse (4132042121322), we get a palindrome (6363254523636).

The spelling of 2231212402314 in words is "two trillion, two hundred thirty-one billion, two hundred twelve million, four hundred two thousand, three hundred fourteen".