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22010334435440 = 245133122325112197
BaseRepresentation
bin1010000000100101011100…
…01010100101100001110000
32212221011112001101001220222
411000102232022211201300
510341104131103413230
6114451224045552212
74431123414542231
oct500225612454160
985834461331828
1022010334435440
117016591a8715a
122575900575668
13c387478cc160
1456143d449088
152828152836e5
hex1404ae2a5870

22010334435440 has 320 divisors, whose sum is σ = 57375719718912. Its totient is φ = 7797634560000.

The previous prime is 22010334435403. The next prime is 22010334435449. The reversal of 22010334435440 is 4453443301022.

It is a self number, because there is not a number n which added to its sum of digits gives 22010334435440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010334435449) 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 63 ways as a sum of consecutive naturals, for example, 1804563422 + ... + 1804575618.

Almost surely, 222010334435440 is an apocalyptic number.

22010334435440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010334435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687859859456).

22010334435440 is an abundant number, since it is smaller than the sum of its proper divisors (35365385283472).

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

22010334435440 is a wasteful number, since it uses less digits than its factorization.

22010334435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12722 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 22010334435440 its reverse (4453443301022), we get a palindrome (26463777736462).

The spelling of 22010334435440 in words is "twenty-two trillion, ten billion, three hundred thirty-four million, four hundred thirty-five thousand, four hundred forty".