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216993348 = 2232111361691
BaseRepresentation
bin11001110111100…
…00111001000100
3120010022101220200
430323300321010
5421022241343
633310530500
75243261445
oct1473607104
9503271820
10216993348
1110153a350
1260806a30
1335c57040
1420b672cc
15140b44d3
hexcef0e44

216993348 has 144 divisors (see below), whose sum is σ = 655916352. Its totient is φ = 59616000.

The previous prime is 216993323. The next prime is 216993353. The reversal of 216993348 is 843399612.

It is a happy number.

216993348 is a `hidden beast` number, since 216 + 9 + 93 + 348 = 666.

216993348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2169933482 = 94172226152498208, which contains 22 as substring.

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, 313683 + ... + 314373.

Almost surely, 2216993348 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 216993348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327958176).

216993348 is an abundant number, since it is smaller than the sum of its proper divisors (438923004).

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

216993348 is a wasteful number, since it uses less digits than its factorization.

216993348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 781 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 216993348 is about 14730.6940773339. The cubic root of 216993348 is about 600.9183603068.

The spelling of 216993348 in words is "two hundred sixteen million, nine hundred ninety-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 61 66 78 99 117 122 132 143 156 183 198 234 244 286 366 396 429 468 549 572 671 691 732 793 858 1098 1287 1342 1382 1586 1716 2013 2073 2196 2379 2574 2684 2764 3172 4026 4146 4758 5148 6039 6219 7137 7601 8052 8292 8723 8983 9516 12078 12438 14274 15202 17446 17966 22803 24156 24876 26169 26949 28548 30404 34892 35932 42151 45606 52338 53898 68409 78507 80847 84302 91212 98813 104676 107796 126453 136818 157014 161694 168604 197626 252906 273636 296439 314028 323388 379359 395252 463661 505812 547963 592878 758718 889317 927322 1095926 1185756 1390983 1517436 1643889 1778634 1854644 2191852 2781966 3287778 3557268 4172949 4931667 5563932 6027593 6575556 8345898 9863334 12055186 16691796 18082779 19726668 24110372 36165558 54248337 72331116 108496674 216993348