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22215023403440 = 2457310954113729
BaseRepresentation
bin1010000110100010101101…
…00101000010000110110000
32220122201212011210000021212
411003101112211002012300
510402432331442402230
6115125235120535252
74451660663216000
oct503212645020660
986581764700255
1022215023403440
11709537a62641a
1225a9506481528
13c51b384b88ba
1456b2da186000
15287ce51c1895
hex1434569421b0

22215023403440 has 320 divisors, whose sum is σ = 60902545440000. Its totient is φ = 7532204359680.

The previous prime is 22215023403431. The next prime is 22215023403451. The reversal of 22215023403440 is 4430432051222.

It is a junction number, because it is equal to n+sod(n) for n = 22215023403397 and 22215023403406.

It is an unprimeable number.

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, 1618102496 + ... + 1618116224.

It is an arithmetic number, because the mean of its divisors is an integer number (190320454500).

Almost surely, 222215023403440 is an apocalyptic number.

22215023403440 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 22215023403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30451272720000).

22215023403440 is an abundant number, since it is smaller than the sum of its proper divisors (38687522036560).

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

22215023403440 is a wasteful number, since it uses less digits than its factorization.

22215023403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14393 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 22215023403440 its reverse (4430432051222), we get a palindrome (26645455454662).

The spelling of 22215023403440 in words is "twenty-two trillion, two hundred fifteen billion, twenty-three million, four hundred three thousand, four hundred forty".