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22322493002040 = 233571122237571301
BaseRepresentation
bin1010001001101010111000…
…10001000001000100111000
32221001000020220210021111120
411010311130101001010320
510411212431202031130
6115250451155225240
74462514120560620
oct504653421010470
987030226707446
1022322493002040
117126a09398500
1226062b98a8220
13c5c0046a076a
145725b3283880
1528a9d5085910
hex144d5c441138

22322493002040 has 768 divisors, whose sum is σ = 84678340239360. Its totient is φ = 4607995392000.

The previous prime is 22322493002027. The next prime is 22322493002059. The reversal of 22322493002040 is 4020039422322.

It is a super-3 number, since 3×223224930020403 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22322493001992 and 22322493002010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17157949390 + ... + 17157950690.

It is an arithmetic number, because the mean of its divisors is an integer number (110258255520).

Almost surely, 222322493002040 is an apocalyptic number.

22322493002040 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 22322493002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42339170119680).

22322493002040 is an abundant number, since it is smaller than the sum of its proper divisors (62355847237320).

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

22322493002040 is a wasteful number, since it uses less digits than its factorization.

22322493002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 22322493002040 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred ninety-three million, two thousand, forty".