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18222985440 = 253251117313759
BaseRepresentation
bin10000111110001011…
…001011000011100000
31202000222202120112200
4100332023023003200
5244310041013230
612212125453200
71213403551302
oct207613130340
952028676480
1018222985440
117801444750
123646a11200
1319454a4b2a
14c4c2b3972
15719c53160
hex43e2cb0e0

18222985440 has 1152 divisors, whose sum is σ = 77441495040. Its totient is φ = 3848601600.

The previous prime is 18222985397. The next prime is 18222985441. The reversal of 18222985440 is 4458922281.

18222985440 is a `hidden beast` number, since 1 + 82 + 2 + 29 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18222985441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 308864131 + ... + 308864189.

It is an arithmetic number, because the mean of its divisors is an integer number (67223520).

Almost surely, 218222985440 is an apocalyptic number.

18222985440 is a gapful number since it is divisible by the number (10) 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 18222985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38720747520).

18222985440 is an abundant number, since it is smaller than the sum of its proper divisors (59218509600).

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

18222985440 is a wasteful number, since it uses less digits than its factorization.

18222985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18222985440 in words is "eighteen billion, two hundred twenty-two million, nine hundred eighty-five thousand, four hundred forty".