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216690864 = 24313677173
BaseRepresentation
bin11001110101001…
…11000010110000
3120002202000222120
430322213002300
5420433101424
633300234240
75240561535
oct1472470260
9502660876
10216690864
11101353065
126069b980
1335b7c460
1420ac8d8c
1514054a79
hexcea70b0

216690864 has 160 divisors (see below), whose sum is σ = 628959744. Its totient is φ = 63866880.

The previous prime is 216690841. The next prime is 216690869. The reversal of 216690864 is 468096612.

It is not an unprimeable number, because it can be changed into a prime (216690869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2968332 + ... + 2968404.

Almost surely, 2216690864 is an apocalyptic number.

216690864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216690864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314479872).

216690864 is an abundant number, since it is smaller than the sum of its proper divisors (412268880).

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

216690864 is a wasteful number, since it uses less digits than its factorization.

216690864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 216690864 is about 14720.4233634770. The cubic root of 216690864 is about 600.6390080950.

The spelling of 216690864 in words is "two hundred sixteen million, six hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 71 73 78 104 134 142 146 156 201 208 213 219 268 284 292 312 402 426 438 536 568 584 624 804 852 871 876 923 949 1072 1136 1168 1608 1704 1742 1752 1846 1898 2613 2769 2847 3216 3408 3484 3504 3692 3796 4757 4891 5183 5226 5538 5694 6968 7384 7592 9514 9782 10366 10452 11076 11388 13936 14271 14673 14768 15184 15549 19028 19564 20732 20904 22152 22776 28542 29346 31098 38056 39128 41464 41808 44304 45552 57084 58692 61841 62196 63583 67379 76112 78256 82928 114168 117384 123682 124392 127166 134758 185523 190749 202137 228336 234768 247364 248784 254332 269516 347261 371046 381498 404274 494728 508664 539032 694522 742092 762996 808548 989456 1017328 1041783 1078064 1389044 1484184 1525992 1617096 2083566 2778088 2968368 3051984 3234192 4167132 4514393 5556176 8334264 9028786 13543179 16668528 18057572 27086358 36115144 54172716 72230288 108345432 216690864