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216450304 = 28743532
BaseRepresentation
bin11001110011011…
…00010100000000
3120002021210222221
430321230110000
5420402402204
633251140424
75235540310
oct1471542400
9502253887
10216450304
111011a9354
12605a4714
1335ac6b05
1420a65440
1514008654
hexce6c500

216450304 has 108 divisors (see below), whose sum is σ = 514973536. Its totient is φ = 88897536.

The previous prime is 216450301. The next prime is 216450317. The reversal of 216450304 is 403054612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216450301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4083942 + ... + 4083994.

Almost surely, 2216450304 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 216450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257486768).

216450304 is an abundant number, since it is smaller than the sum of its proper divisors (298523232).

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

216450304 is an frugal number, since it uses more digits than its factorization.

216450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 216450304 is about 14712.2501338171. The cubic root of 216450304 is about 600.4166587403.

The spelling of 216450304 in words is "two hundred sixteen million, four hundred fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 53 56 64 86 106 112 128 172 212 224 256 301 344 371 424 448 602 688 742 848 896 1204 1376 1484 1696 1792 2279 2408 2752 2809 2968 3392 4558 4816 5504 5618 5936 6784 9116 9632 11008 11236 11872 13568 15953 18232 19264 19663 22472 23744 31906 36464 38528 39326 44944 47488 63812 72928 77056 78652 89888 94976 120787 127624 145856 157304 179776 241574 255248 291712 314608 359552 483148 510496 583424 629216 719104 845509 966296 1020992 1258432 1691018 1932592 2041984 2516864 3382036 3865184 4083968 5033728 6764072 7730368 13528144 15460736 27056288 30921472 54112576 108225152 216450304