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2211402224430 = 234571798323339
BaseRepresentation
bin100000001011100001110…
…110000001001100101110
321211102000102102112220000
4200023201312001030232
5242212422432140210
64411523144205130
7315524415522630
oct40134166011456
97742012375800
102211402224430
117829399a4a63
122b87021697a6
131306c3c1aab9
1479065024a50
153c7cc493ac0
hex202e1d8132e

2211402224430 has 320 divisors, whose sum is σ = 7203048145920. Its totient is φ = 475225906176.

The previous prime is 2211402224399. The next prime is 2211402224431. The reversal of 2211402224430 is 344222041122.

It is a happy number.

2211402224430 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 4 + 0 + 2 + 224 + 430 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2211402224394 and 2211402224403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211402224431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 94739701 + ... + 94763039.

It is an arithmetic number, because the mean of its divisors is an integer number (22509525456).

Almost surely, 22211402224430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211402224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601524072960).

2211402224430 is an abundant number, since it is smaller than the sum of its proper divisors (4991645921490).

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

2211402224430 is a wasteful number, since it uses less digits than its factorization.

2211402224430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24365 (or 24356 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2211402224430 its reverse (344222041122), we get a palindrome (2555624265552).

The spelling of 2211402224430 in words is "two trillion, two hundred eleven billion, four hundred two million, two hundred twenty-four thousand, four hundred thirty".