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22224400440040 = 2351514936676349
BaseRepresentation
bin1010000110110100001010…
…11111100101101011101000
32220200122001200022211021201
411003122011133211223220
510403111033003040130
6115133425411213544
74452442234551061
oct503320537455350
986618050284251
1022224400440040
117099351728847
1225ab2a28a72b4
13c529a10ca276
1456b9496a5568
15288193527bca
hex1436857e5ae8

22224400440040 has 32 divisors (see below), whose sum is σ = 50008203225000. Its totient is φ = 8889173112064.

The previous prime is 22224400440019. The next prime is 22224400440083. The reversal of 22224400440040 is 4004400442222.

It can be written as a sum of positive squares in 4 ways, for example, as 15567143852484 + 6657256587556 = 3945522^2 + 2580166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22224400439990 and 22224400440008.

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 7 ways as a sum of consecutive naturals, for example, 17732215 + ... + 18944134.

Almost surely, 222224400440040 is an apocalyptic number.

22224400440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22224400440040 is an abundant number, since it is smaller than the sum of its proper divisors (27783802784960).

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

22224400440040 is a wasteful number, since it uses less digits than its factorization.

22224400440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36691509 (or 36691505 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22224400440040 its reverse (4004400442222), we get a palindrome (26228800882262).

The spelling of 22224400440040 in words is "twenty-two trillion, two hundred twenty-four billion, four hundred million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 15149 30298 60596 75745 121192 151490 302980 605960 36676349 73352698 146705396 183381745 293410792 366763490 733526980 1467053960 555610011001 1111220022002 2222440044004 2778050055005 4444880088008 5556100110010 11112200220020 22224400440040