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216255256 = 23731432897
BaseRepresentation
bin11001110001111…
…00101100011000
3120001220220102221
430320330230120
5420330132011
633243033424
75234065540
oct1470745430
9501826387
10216255256
11101085858
126050b874
1335a590b9
1420a14320
1513eba971
hexce3cb18

216255256 has 64 divisors (see below), whose sum is σ = 489646080. Its totient is φ = 87575040.

The previous prime is 216255251. The next prime is 216255257. The reversal of 216255256 is 652552612.

216255256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216255251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73200 + ... + 76096.

It is an arithmetic number, because the mean of its divisors is an integer number (7650720).

Almost surely, 2216255256 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 216255256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244823040).

216255256 is an abundant number, since it is smaller than the sum of its proper divisors (273390824).

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

216255256 is a wasteful number, since it uses less digits than its factorization.

216255256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2980 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 216255256 is about 14705.6198781282. The cubic root of 216255256 is about 600.2362551085.

The spelling of 216255256 in words is "two hundred sixteen million, two hundred fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 86 124 172 217 248 301 344 434 602 868 1204 1333 1736 2408 2666 2897 5332 5794 9331 10664 11588 18662 20279 23176 37324 40558 74648 81116 89807 124571 162232 179614 249142 359228 498284 628649 718456 871997 996568 1257298 1743994 2514596 3487988 3861701 5029192 6975976 7723402 15446804 27031907 30893608 54063814 108127628 216255256