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199284696 = 233213239257
BaseRepresentation
bin10111110000011…
…01011111011000
3111212222201012200
423320031133120
5402004102241
631435210200
74636614642
oct1370153730
9455881180
10199284696
11a25445a6
12568a6960
1332396850
141c677892
15127674b6
hexbe0d7d8

199284696 has 96 divisors (see below), whose sum is σ = 606584160. Its totient is φ = 58646016.

The previous prime is 199284691. The next prime is 199284697. The reversal of 199284696 is 696482991.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199284691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16900 + ... + 26156.

It is an arithmetic number, because the mean of its divisors is an integer number (6318585).

Almost surely, 2199284696 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 199284696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303292080).

199284696 is an abundant number, since it is smaller than the sum of its proper divisors (407299464).

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

199284696 is a wasteful number, since it uses less digits than its factorization.

199284696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305 (or 9298 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 199284696 is about 14116.8231553703. The cubic root of 199284696 is about 584.1055276244.

The spelling of 199284696 in words is "one hundred ninety-nine million, two hundred eighty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 7176 9257 10764 18514 21528 27771 37028 55542 74056 83313 111084 120341 166626 212911 222168 240682 333252 361023 425822 481364 638733 666504 722046 851644 962728 1083069 1277466 1444092 1703288 1916199 2166138 2554932 2767843 2888184 3832398 4332276 5109864 5535686 7664796 8303529 8664552 11071372 15329592 16607058 22142744 24910587 33214116 49821174 66428232 99642348 199284696