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214322130 = 232511375851
BaseRepresentation
bin11001100011001…
…00101111010010
3112221021200200200
430301210233102
5414331302010
633133400030
75211464601
oct1461445722
9487250620
10214322130
11aaa85430
125b939016
1335530239
142066da38
1513c37cc0
hexcc64bd2

214322130 has 96 divisors (see below), whose sum is σ = 624431808. Its totient is φ = 50544000.

The previous prime is 214322107. The next prime is 214322131. The reversal of 214322130 is 31223412.

214322130 is a `hidden beast` number, since 21 + 432 + 213 + 0 = 666.

214322130 is digitally balanced in base 2, 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 (18).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (214322131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33705 + ... + 39555.

It is an arithmetic number, because the mean of its divisors is an integer number (6504498).

Almost surely, 2214322130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312215904).

214322130 is an abundant number, since it is smaller than the sum of its proper divisors (410109678).

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

214322130 is a wasteful number, since it uses less digits than its factorization.

214322130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214322130 is about 14639.7448748262. The cubic root of 214322130 is about 598.4423765143.

Adding to 214322130 its reverse (31223412), we get a palindrome (245545542).

The spelling of 214322130 in words is "two hundred fourteen million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 5851 6105 7326 11702 12210 17553 18315 29255 35106 36630 52659 58510 64361 87765 105318 128722 175530 193083 216487 263295 321805 386166 432974 526590 579249 643610 649461 965415 1082435 1158498 1298922 1930830 1948383 2164870 2381357 2896245 3247305 3896766 4762714 5792490 6494610 7144071 9741915 11906785 14288142 19483830 21432213 23813570 35720355 42864426 71440710 107161065 214322130