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214255422 = 23329414771
BaseRepresentation
bin11001100010101…
…00011100111110
3112221011022012000
430301110130332
5414322133142
633132123130
75211066243
oct1461243476
9487138160
10214255422
11aaa3a2a7
125b9064a6
1335508a74
14206535ca
1513c2314c
hexcc5473e

214255422 has 128 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 64915200.

The previous prime is 214255387. The next prime is 214255423. The reversal of 214255422 is 224552412.

214255422 is a `hidden beast` number, since 214 + 25 + 5 + 422 = 666.

214255422 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214255423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3017647 + ... + 3017717.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2214255422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214255422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

214255422 is an abundant number, since it is smaller than the sum of its proper divisors (308291778).

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

214255422 is a wasteful number, since it uses less digits than its factorization.

214255422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 214255422 is about 14637.4663791245. The cubic root of 214255422 is about 598.3802814543.

The spelling of 214255422 in words is "two hundred fourteen million, two hundred fifty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 41 47 54 58 71 82 87 94 123 141 142 174 213 246 261 282 369 423 426 522 639 738 783 846 1107 1189 1269 1278 1363 1566 1917 1927 2059 2214 2378 2538 2726 2911 3337 3567 3834 3854 4089 4118 5781 5822 6177 6674 7134 8178 8733 10011 10701 11562 12267 12354 17343 17466 18531 20022 21402 24534 26199 30033 32103 34686 36801 37062 52029 52398 55593 55883 60066 64206 73602 78597 84419 90099 96773 104058 111186 111766 136817 157194 167649 168838 180198 193546 253257 273634 290319 335298 410451 502947 506514 580638 759771 820902 870957 1005894 1231353 1508841 1519542 1741914 2279313 2462706 2612871 3017682 3694059 3967693 4558626 5225742 7388118 7935386 11903079 23806158 35709237 71418474 107127711 214255422