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214118670 = 23559137883
BaseRepresentation
bin11001100001100…
…11000100001110
3112220220100121010
430300303010032
5414303244140
633125150050
75206656453
oct1460630416
9486810533
10214118670
11aa956587
125b85b326
133548b74c
142061982a
1513be7880
hexcc3310e

214118670 has 64 divisors (see below), whose sum is σ = 527005440. Its totient is φ = 55657728.

The previous prime is 214118623. The next prime is 214118693. The reversal of 214118670 is 76811412.

214118670 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242049 + ... + 242931.

It is an arithmetic number, because the mean of its divisors is an integer number (8234460).

Almost surely, 2214118670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214118670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263502720).

214118670 is an abundant number, since it is smaller than the sum of its proper divisors (312886770).

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

214118670 is a wasteful number, since it uses less digits than its factorization.

214118670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 214118670 is about 14632.7943332776. The cubic root of 214118670 is about 598.2529457174.

The spelling of 214118670 in words is "two hundred fourteen million, one hundred eighteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 59 118 137 177 274 295 354 411 590 685 822 883 885 1370 1766 1770 2055 2649 4110 4415 5298 8083 8830 13245 16166 24249 26490 40415 48498 52097 80830 104194 120971 121245 156291 241942 242490 260485 312582 362913 520970 604855 725826 781455 1209710 1562910 1814565 3629130 7137289 14274578 21411867 35686445 42823734 71372890 107059335 214118670