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214317018 = 232291512719
BaseRepresentation
bin11001100011000…
…11011111011010
3112221021102200100
430301203133122
5414331121033
633133320230
75211443646
oct1461433732
9487242610
10214317018
11aaa81603
125b936076
133552ab06
142066bc26
1513c36513
hexcc637da

214317018 has 48 divisors (see below), whose sum is σ = 483724800. Its totient is φ = 68493600.

The previous prime is 214316983. The next prime is 214317029. The reversal of 214317018 is 810713412.

214317018 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214316982 and 214317000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77463 + ... + 80181.

It is an arithmetic number, because the mean of its divisors is an integer number (10077600).

Almost surely, 2214317018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214317018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241862400).

214317018 is an abundant number, since it is smaller than the sum of its proper divisors (269407782).

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

214317018 is a wasteful number, since it uses less digits than its factorization.

214317018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 214317018 is about 14639.5702805786. The cubic root of 214317018 is about 598.4376184713.

The spelling of 214317018 in words is "two hundred fourteen million, three hundred seventeen thousand, eighteen".

Divisors: 1 2 3 6 9 18 29 58 87 151 174 261 302 453 522 906 1359 2718 2719 4379 5438 8157 8758 13137 16314 24471 26274 39411 48942 78822 78851 157702 236553 410569 473106 709659 821138 1231707 1419318 2463414 3695121 7390242 11906501 23813002 35719503 71439006 107158509 214317018