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216986094 = 233132389151
BaseRepresentation
bin11001110111011…
…11000111101110
3120010022000222000
430323233013232
5421022023334
633310433130
75243231343
oct1473570756
9503260860
10216986094
11101534956
12608027a6
1335c53950
1420b647ca
15140b2299
hexceef1ee

216986094 has 128 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 62726400.

The previous prime is 216986059. The next prime is 216986101. The reversal of 216986094 is 490689612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1436919 + ... + 1437069.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2216986094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216986094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

216986094 is an abundant number, since it is smaller than the sum of its proper divisors (334591506).

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

216986094 is a wasteful number, since it uses less digits than its factorization.

216986094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 216986094 is about 14730.4478546988. The cubic root of 216986094 is about 600.9116640794.

It can be divided in two parts, 216 and 986094, that added together give a triangular number (986310 = T1404).

The spelling of 216986094 in words is "two hundred sixteen million, nine hundred eighty-six thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 89 117 138 151 178 207 234 267 299 302 351 414 453 534 598 621 702 801 897 906 1157 1242 1359 1602 1794 1963 2047 2314 2403 2691 2718 3471 3473 3926 4077 4094 4806 5382 5889 6141 6942 6946 8073 8154 10413 10419 11778 12282 13439 16146 17667 18423 20826 20838 26611 26878 31239 31257 35334 36846 40317 45149 53001 53222 55269 62478 62514 79833 80634 90298 93771 106002 110538 120951 135447 159666 174707 187542 239499 241902 270894 309097 349414 362853 406341 478998 524121 618194 718497 725706 812682 927291 1048242 1219023 1436994 1572363 1854582 2438046 2781873 3144726 4018261 4717089 5563746 8036522 8345619 9434178 12054783 16691238 24109566 36164349 72328698 108493047 216986094