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234223416 = 233271727337
BaseRepresentation
bin11011111010111…
…11011100111000
3121022201210010100
431331133130320
5434430122131
635124115400
75542603050
oct1575373470
9538653110
10234223416
11110238579
1266535b60
13396aa74b
1423170560
15158697e6
hexdf5f738

234223416 has 96 divisors (see below), whose sum is σ = 767651040. Its totient is φ = 62982144.

The previous prime is 234223397. The next prime is 234223417. The reversal of 234223416 is 614322432.

234223416 is a `hidden beast` number, since 23 + 4 + 223 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234223416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234223417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5101 + ... + 22236.

It is an arithmetic number, because the mean of its divisors is an integer number (7996365).

Almost surely, 2234223416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234223416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383825520).

234223416 is an abundant number, since it is smaller than the sum of its proper divisors (533427624).

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

234223416 is a wasteful number, since it uses less digits than its factorization.

234223416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27373 (or 27366 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 234223416 is about 15304.3593789482. The cubic root of 234223416 is about 616.4200696353.

Adding to 234223416 its reverse (614322432), we get a palindrome (848545848).

The spelling of 234223416 in words is "two hundred thirty-four million, two hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 27337 54674 82011 109348 164022 191359 218696 246033 328044 382718 464729 492066 574077 656088 765436 929458 984132 1148154 1394187 1530872 1722231 1858916 1968264 2296308 2788374 3253103 3444462 3717832 4182561 4592616 5576748 6506206 6888924 8365122 9759309 11153496 13012412 13777848 16730244 19518618 26024824 29277927 33460488 39037236 58555854 78074472 117111708 234223416