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22001220043440 = 243511174371211761
BaseRepresentation
bin1010000000010100011101…
…11001111100001010110000
32212220021222212000222120220
411000022032321330022300
510340431444312342230
6114443115420533040
74430351512514631
oct500121671741260
985807885028526
1022001220043440
117012735164590
122573b980b1180
13c379245396b1
14560c16b77888
1528248000cd10
hex14028ee7c2b0

22001220043440 has 1280 divisors, whose sum is σ = 82243709779968. Its totient is φ = 4804853760000.

The previous prime is 22001220043367. The next prime is 22001220043459. The reversal of 22001220043440 is 4434002210022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22001220043440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28910932660 + ... + 28910933420.

Almost surely, 222001220043440 is an apocalyptic number.

22001220043440 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 22001220043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41121854889984).

22001220043440 is an abundant number, since it is smaller than the sum of its proper divisors (60242489736528).

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

22001220043440 is a wasteful number, since it uses less digits than its factorization.

22001220043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22001220043440 its reverse (4434002210022), we get a palindrome (26435222253462).

The spelling of 22001220043440 in words is "twenty-two trillion, one billion, two hundred twenty million, forty-three thousand, four hundred forty".