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199880448 = 2832331117
BaseRepresentation
bin10111110100111…
…10111100000000
3111221002222102120
423322132330000
5402132133243
631500044240
74644645555
oct1372367400
9457088376
10199880448
11a2911159
1256b33680
1332544a71
141c790a2c
1512833c83
hexbe9ef00

199880448 has 72 divisors (see below), whose sum is σ = 534734928. Its totient is φ = 66281472.

The previous prime is 199880413. The next prime is 199880477. The reversal of 199880448 is 844088991.

It is a self number, because there is not a number n which added to its sum of digits gives 199880448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178386 + ... + 179502.

It is an arithmetic number, because the mean of its divisors is an integer number (7426874).

Almost surely, 2199880448 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 199880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267367464).

199880448 is an abundant number, since it is smaller than the sum of its proper divisors (334854480).

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

199880448 is a wasteful number, since it uses less digits than its factorization.

199880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 199880448 is about 14137.9081903937. The cubic root of 199880448 is about 584.6870003608.

The spelling of 199880448 in words is "one hundred ninety-nine million, eight hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 699 768 932 1117 1398 1864 2234 2796 3351 3728 4468 5592 6702 7456 8936 11184 13404 14912 17872 22368 26808 29824 35744 44736 53616 59648 71488 89472 107232 142976 178944 214464 260261 285952 428928 520522 780783 857856 1041044 1561566 2082088 3123132 4164176 6246264 8328352 12492528 16656704 24985056 33313408 49970112 66626816 99940224 199880448