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216493368 = 2337413172
BaseRepresentation
bin11001110011101…
…10110100111000
3120002101000001220
430321312310320
5420410241433
633252112040
75236110000
oct1471666470
9502330056
10216493368
11101228743
1260605620
1335b105b0
1420a77000
15140162b3
hexce76d38

216493368 has 240 divisors, whose sum is σ = 722321880. Its totient is φ = 53738496.

The previous prime is 216493363. The next prime is 216493373. The reversal of 216493368 is 863394612.

It is an interprime number because it is at equal distance from previous prime (216493363) and next prime (216493373).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216493363) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12734896 + ... + 12734912.

Almost surely, 2216493368 is an apocalyptic number.

216493368 is a gapful number since it is divisible by the number (28) 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 216493368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361160940).

216493368 is an abundant number, since it is smaller than the sum of its proper divisors (505828512).

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

216493368 is a wasteful number, since it uses less digits than its factorization.

216493368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 216493368 is about 14713.7136033022. The cubic root of 216493368 is about 600.4564748520.

The spelling of 216493368 in words is "two hundred sixteen million, four hundred ninety-three thousand, three hundred sixty-eight".