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22314030324040 = 23572132371536281
BaseRepresentation
bin1010001001011011000111…
…10110011101100101001000
32221000012102010202200201001
411010231203312131211020
510411043113230332130
6115242531330504344
74462064321156200
oct504554366354510
987005363680631
1022314030324040
117123366435244
1226047377350b4
13c5b2863421a0
1457200d37b400
1528a68c1456ca
hex144b63d9d948

22314030324040 has 384 divisors, whose sum is σ = 66555256158720. Its totient is φ = 6659825356800.

The previous prime is 22314030324031. The next prime is 22314030324083. The reversal of 22314030324040 is 4042303041322.

It is a super-3 number, since 3×223140303240403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41340700 + ... + 41876980.

It is an arithmetic number, because the mean of its divisors is an integer number (173320979580).

Almost surely, 222314030324040 is an apocalyptic number.

22314030324040 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 22314030324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33277628079360).

22314030324040 is an abundant number, since it is smaller than the sum of its proper divisors (44241225834680).

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

22314030324040 is a wasteful number, since it uses less digits than its factorization.

22314030324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536413 (or 536402 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 22314030324040 its reverse (4042303041322), we get a palindrome (26356333365362).

The spelling of 22314030324040 in words is "twenty-two trillion, three hundred fourteen billion, thirty million, three hundred twenty-four thousand, forty".