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96818224 = 24192361227
BaseRepresentation
bin1011100010101…
…01010000110000
320202011212122011
411301111100300
5144241140344
613335052304
72253640606
oct561252060
9222155564
1096818224
114a718a68
1228511094
131709b4b9
14cc03876
158776d34
hex5c55430

96818224 has 80 divisors (see below), whose sum is σ = 210343680. Its totient is φ = 42958080.

The previous prime is 96818219. The next prime is 96818231. The reversal of 96818224 is 42281869.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 426399 + ... + 426625.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 296818224 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 96818224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171840).

96818224 is an abundant number, since it is smaller than the sum of its proper divisors (113525456).

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

96818224 is a wasteful number, since it uses less digits than its factorization.

96818224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 96818224 is about 9839.6251961139. The cubic root of 96818224 is about 459.1828972575.

The spelling of 96818224 in words is "ninety-six million, eight hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 38 46 61 76 92 122 152 184 227 244 304 368 437 454 488 874 908 976 1159 1403 1748 1816 2318 2806 3496 3632 4313 4636 5221 5612 6992 8626 9272 10442 11224 13847 17252 18544 20884 22448 26657 27694 34504 41768 53314 55388 69008 83536 99199 106628 110776 198398 213256 221552 263093 318481 396796 426512 526186 636962 793592 1052372 1273924 1587184 2104744 2547848 4209488 5095696 6051139 12102278 24204556 48409112 96818224