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196684224 = 26311234049
BaseRepresentation
bin10111011100100…
…10100111000000
3111201002121000220
423232102213000
5400322343344
631303343040
74605534252
oct1356224700
9451077026
10196684224
11a1028850
1255a51a80
1331995cc9
141c19bcd2
1512401c19
hexbb929c0

196684224 has 112 divisors (see below), whose sum is σ = 592531200. Its totient is φ = 56995840.

The previous prime is 196684223. The next prime is 196684231. The reversal of 196684224 is 422486691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196684223) 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 15 ways as a sum of consecutive naturals, for example, 46552 + ... + 50600.

Almost surely, 2196684224 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 196684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296265600).

196684224 is an abundant number, since it is smaller than the sum of its proper divisors (395846976).

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

196684224 is a wasteful number, since it uses less digits than its factorization.

196684224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4088 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 196684224 is about 14024.4152819289. The cubic root of 196684224 is about 581.5537255050.

The spelling of 196684224 in words is "one hundred ninety-six million, six hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4049 4416 6072 8096 8098 12144 12147 16192 16196 24288 24294 32392 44539 48576 48588 64784 89078 93127 97176 129568 133617 178156 186254 194352 259136 267234 279381 356312 372508 388704 534468 558762 712624 745016 777408 1024397 1068936 1117524 1425248 1490032 2048794 2137872 2235048 2850496 2980064 3073191 4097588 4275744 4470096 5960128 6146382 8195176 8551488 8940192 12292764 16390352 17880384 24585528 32780704 49171056 65561408 98342112 196684224