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18227190240 = 253457331607
BaseRepresentation
bin10000111110011011…
…001101100111100000
31202001021200012110000
4100332123031213200
5244312130041430
612212355540000
71213454363220
oct207633154740
952037605400
1018227190240
117803856896
1236482ba600
13194631798c
14c4ca8a080
1571a2d3e60
hex43e6cd9e0

18227190240 has 480 divisors, whose sum is σ = 73859917824. Its totient is φ = 4146785280.

The previous prime is 18227190227. The next prime is 18227190253. The reversal of 18227190240 is 4209172281.

18227190240 is a `hidden beast` number, since 1 + 8 + 227 + 190 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (18227190227) and next prime (18227190253).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 18227190195 and 18227190204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30028017 + ... + 30028623.

Almost surely, 218227190240 is an apocalyptic number.

18227190240 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 18227190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36929958912).

18227190240 is an abundant number, since it is smaller than the sum of its proper divisors (55632727584).

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

18227190240 is a wasteful number, since it uses less digits than its factorization.

18227190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18227190240 in words is "eighteen billion, two hundred twenty-seven million, one hundred ninety thousand, two hundred forty".