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22442233140000 = 253354414392309
BaseRepresentation
bin1010001101001001111010…
…10101011001001100100000
32221110110022210222112022000
411012210331111121030200
510420143143140440000
6115421453010044000
74504253313135012
oct506447525311440
987413283875260
1022442233140000
1171727745a3403
122625556579600
13c6a3a7aa15bb
145782d1ca41b2
1528db9230a000
hex14693d559320

22442233140000 has 960 divisors, whose sum is σ = 84016681056000. Its totient is φ = 5822807040000.

The previous prime is 22442233139981. The next prime is 22442233140017. The reversal of 22442233140000 is 4133224422.

22442233140000 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 223 + 31 + 400 + 0 + 0 = 666.

It is a super-2 number, since 2×224422331400002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9719458846 + ... + 9719461154.

It is an arithmetic number, because the mean of its divisors is an integer number (87517376100).

Almost surely, 222442233140000 is an apocalyptic number.

22442233140000 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 22442233140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42008340528000).

22442233140000 is an abundant number, since it is smaller than the sum of its proper divisors (61574447916000).

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

22442233140000 is a wasteful number, since it uses less digits than its factorization.

22442233140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22442233140000 its reverse (4133224422), we get a palindrome (22446366364422).

The spelling of 22442233140000 in words is "twenty-two trillion, four hundred forty-two billion, two hundred thirty-three million, one hundred forty thousand".