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214717230 = 2355713971
BaseRepresentation
bin11001100110001…
…01001100101110
3112222000202200000
430303011030232
5414431422410
633150045130
75215031520
oct1463051456
9488022600
10214717230
11100225262
125baa97a6
133563b020
1420733a10
1513cb4dc0
hexccc532e

214717230 has 192 divisors, whose sum is σ = 713276928. Its totient is φ = 45256320.

The previous prime is 214717201. The next prime is 214717231. The reversal of 214717230 is 32717412.

It is a happy number.

214717230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2147172303 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214717194 and 214717203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214717231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220645 + ... + 221615.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2214717230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214717230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

214717230 is an abundant number, since it is smaller than the sum of its proper divisors (498559698).

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

214717230 is a wasteful number, since it uses less digits than its factorization.

214717230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 214717230 is about 14653.2327491240. The cubic root of 214717230 is about 598.8098909616.

The spelling of 214717230 in words is "two hundred fourteen million, seven hundred seventeen thousand, two hundred thirty".