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22202200343040 = 293519353431029
BaseRepresentation
bin1010000110001010110100…
…10000111100001000000000
32220121111202111221001022220
411003011122100330020000
510402230101241434130
6115115314450131040
74451025136052154
oct503053220741000
986544674831286
1022202200343040
11708a99a313343
1225a6b27b80a80
13c50873988ab3
1456a841119064
152877e4571410
hex14315a43c200

22202200343040 has 320 divisors, whose sum is σ = 74925151804800. Its totient is φ = 5593074499584.

The previous prime is 22202200343003. The next prime is 22202200343123. The reversal of 22202200343040 is 4034300220222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 22202200343040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51294246 + ... + 51725274.

It is an arithmetic number, because the mean of its divisors is an integer number (234141099390).

Almost surely, 222202200343040 is an apocalyptic number.

22202200343040 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 22202200343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37462575902400).

22202200343040 is an abundant number, since it is smaller than the sum of its proper divisors (52722951461760).

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

22202200343040 is a wasteful number, since it uses less digits than its factorization.

22202200343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431427 (or 431411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22202200343040 its reverse (4034300220222), we get a palindrome (26236500563262).

The spelling of 22202200343040 in words is "twenty-two trillion, two hundred two billion, two hundred million, three hundred forty-three thousand, forty".