Search a number
-
+
199883660 = 225293111117
BaseRepresentation
bin10111110100111…
…11101110001100
3111221010010211112
423322133232030
5402132234120
631500111152
74644661124
oct1372375614
9457103745
10199883660
11a2913609
1256b354b8
1332546372
141c791c84
1512834bc5
hexbe9fb8c

199883660 has 48 divisors (see below), whose sum is σ = 448277760. Its totient is φ = 74699520.

The previous prime is 199883659. The next prime is 199883693. The reversal of 199883660 is 66388991.

It is a junction number, because it is equal to n+sod(n) for n = 199883599 and 199883608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12422 + ... + 23538.

It is an arithmetic number, because the mean of its divisors is an integer number (9339120).

Almost surely, 2199883660 is an apocalyptic number.

199883660 is a gapful number since it is divisible by the number (10) 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 199883660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224138880).

199883660 is an abundant number, since it is smaller than the sum of its proper divisors (248394100).

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

199883660 is a wasteful number, since it uses less digits than its factorization.

199883660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 199883660 is about 14138.0217852428. The cubic root of 199883660 is about 584.6901322406.

It can be divided in two parts, 1998 and 83660, that added together give a palindrome (85658).

The spelling of 199883660 in words is "one hundred ninety-nine million, eight hundred eighty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3596 4495 8990 11117 17980 22234 44468 55585 111170 222340 322393 344627 644786 689254 1289572 1378508 1611965 1723135 3223930 3446270 6447860 6892540 9994183 19988366 39976732 49970915 99941830 199883660