Search a number
-
+
216059004 = 2232743127157
BaseRepresentation
bin11001110000011…
…00110001111100
3120001112221020100
430320030301330
5420302342004
633234521100
75232320430
oct1470146174
9501487210
10216059004
11100a61367
1260436190
13359ba985
14209a29c0
1513e7c739
hexce0cc7c

216059004 has 144 divisors (see below), whose sum is σ = 647815168. Its totient is φ = 59439744.

The previous prime is 216058993. The next prime is 216059017. The reversal of 216059004 is 400950612.

216059004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376094 + ... + 1376250.

Almost surely, 2216059004 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 216059004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323907584).

216059004 is an abundant number, since it is smaller than the sum of its proper divisors (431756164).

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

216059004 is a wasteful number, since it uses less digits than its factorization.

216059004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 216059004 is about 14698.9456764763. The cubic root of 216059004 is about 600.0546283594.

The spelling of 216059004 in words is "two hundred sixteen million, fifty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 127 129 157 172 252 254 258 301 314 381 387 471 508 516 602 628 762 774 889 903 942 1099 1143 1204 1413 1524 1548 1778 1806 1884 2198 2286 2667 2709 2826 3297 3556 3612 4396 4572 5334 5418 5461 5652 6594 6751 8001 9891 10668 10836 10922 13188 13502 16002 16383 19782 19939 20253 21844 27004 32004 32766 38227 39564 39878 40506 47257 49149 59817 60759 65532 76454 79756 81012 94514 98298 114681 119634 121518 139573 141771 152908 179451 189028 196596 229362 239268 243036 279146 283542 344043 358902 418719 425313 458724 558292 567084 688086 717804 837438 850626 857377 1256157 1376172 1674876 1701252 1714754 2512314 2572131 3429508 5024628 5144262 6001639 7716393 10288524 12003278 15432786 18004917 24006556 30865572 36009834 54014751 72019668 108029502 216059004