Search a number
-
+
232214256 = 24332323371
BaseRepresentation
bin11011101011101…
…00111011110000
3121011221201002000
431311310323300
5433421324011
635013054000
75516534331
oct1565647360
9534851060
10232214256
1110a09600a
1265927300
13391560b1
1422baa288
15155be356
hexdd74ef0

232214256 has 80 divisors (see below), whose sum is σ = 695550720. Its totient is φ = 74036160.

The previous prime is 232214243. The next prime is 232214291. The reversal of 232214256 is 652412232.

It is a happy number.

232214256 is a `hidden beast` number, since 232 + 2 + 1 + 425 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750 + ... + 21621.

It is an arithmetic number, because the mean of its divisors is an integer number (8694384).

Almost surely, 2232214256 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 232214256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347775360).

232214256 is an abundant number, since it is smaller than the sum of its proper divisors (463336464).

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

232214256 is a wasteful number, since it uses less digits than its factorization.

232214256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23411 (or 23399 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 232214256 is about 15238.5778864040. The cubic root of 232214256 is about 614.6524627748.

Adding to 232214256 its reverse (652412232), we get a palindrome (884626488).

The spelling of 232214256 in words is "two hundred thirty-two million, two hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 23371 46742 70113 93484 140226 186968 210339 280452 373936 420678 537533 560904 631017 841356 1075066 1121808 1262034 1612599 1682712 2150132 2524068 3225198 3365424 4300264 4837797 5048136 6450396 8600528 9675594 10096272 12900792 14513391 19351188 25801584 29026782 38702376 58053564 77404752 116107128 232214256