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216389888 = 28111323257
BaseRepresentation
bin11001110010111…
…01100100000000
3120002011202010022
430321131210000
5420343434023
633245553012
75235166211
oct1471354400
9502152108
10216389888
11101167a20
1260575768
1335aa5470
1420a4b408
1513ee57c8
hexce5d900

216389888 has 144 divisors (see below), whose sum is σ = 531570816. Its totient is φ = 86507520.

The previous prime is 216389867. The next prime is 216389897. The reversal of 216389888 is 888983612.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841856 + ... + 842112.

It is an arithmetic number, because the mean of its divisors is an integer number (3691464).

Almost surely, 2216389888 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 216389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265785408).

216389888 is an abundant number, since it is smaller than the sum of its proper divisors (315180928).

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

216389888 is a wasteful number, since it uses less digits than its factorization.

216389888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 53.

The square root of 216389888 is about 14710.1967355981. The cubic root of 216389888 is about 600.3607904144.

The spelling of 216389888 in words is "two hundred sixteen million, three hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 64 88 92 104 128 143 176 184 208 253 256 257 286 299 352 368 416 506 514 572 598 704 736 832 1012 1028 1144 1196 1408 1472 1664 2024 2056 2288 2392 2816 2827 2944 3289 3328 3341 4048 4112 4576 4784 5654 5888 5911 6578 6682 8096 8224 9152 9568 11308 11822 13156 13364 16192 16448 18304 19136 22616 23644 26312 26728 32384 32896 36608 36751 38272 45232 47288 52624 53456 64768 65021 65792 73502 76544 76843 90464 94576 105248 106912 130042 147004 153686 180928 189152 210496 213824 260084 294008 307372 361856 378304 420992 427648 520168 588016 614744 723712 756608 841984 845273 855296 1040336 1176032 1229488 1513216 1690546 2080672 2352064 2458976 3381092 4161344 4704128 4917952 6762184 8322688 9408256 9835904 13524368 16645376 19671808 27048736 54097472 108194944 216389888