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117222490440 = 23355111923037
BaseRepresentation
bin110110100101100000…
…0010100000101001000
3102012120102210111200000
41231023000110011020
53410032424143230
6125503512443000
711316611504616
oct1551300240510
9365512714600
10117222490440
1145794049080
121a8756a9460
13b091932ca3
1459604d86b6
1530b120eb60
hex1b4b014148

117222490440 has 576 divisors, whose sum is σ = 455027751360. Its totient is φ = 26913047040.

The previous prime is 117222490409. The next prime is 117222490499. The reversal of 117222490440 is 44094222711.

It is a happy number.

117222490440 is a `hidden beast` number, since 1 + 172 + 2 + 2 + 49 + 0 + 440 = 666.

It is a super-2 number, since 2×1172224904402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117222490395 and 117222490404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38596602 + ... + 38599638.

It is an arithmetic number, because the mean of its divisors is an integer number (789978735).

Almost surely, 2117222490440 is an apocalyptic number.

117222490440 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 117222490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227513875680).

117222490440 is an abundant number, since it is smaller than the sum of its proper divisors (337805260920).

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

117222490440 is a wasteful number, since it uses less digits than its factorization.

117222490440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 117222490440 in words is "one hundred seventeen billion, two hundred twenty-two million, four hundred ninety thousand, four hundred forty".