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199033344 = 293247919
BaseRepresentation
bin10111101110100…
…00001000000000
3111212111221102100
423313100020000
5401423031334
631425550400
74634520066
oct1367201000
9455457370
10199033344
11a2392774
12567a5400
1332309313
141c610036
1512717c99
hexbdd0200

199033344 has 120 divisors (see below), whose sum is σ = 587283840. Its totient is φ = 64862208.

The previous prime is 199033343. The next prime is 199033357. The reversal of 199033344 is 443330991.

It is a super-2 number, since 2×1990333442 = 79228544047644672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199033299 and 199033308.

It is not an unprimeable number, because it can be changed into a prime (199033343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216117 + ... + 217035.

It is an arithmetic number, because the mean of its divisors is an integer number (4894032).

Almost surely, 2199033344 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 199033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293641920).

199033344 is an abundant number, since it is smaller than the sum of its proper divisors (388250496).

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

199033344 is an equidigital number, since it uses as much as digits as its factorization.

199033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 199033344 is about 14107.9177769081. The cubic root of 199033344 is about 583.8598525278.

The spelling of 199033344 in words is "one hundred ninety-nine million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 919 1128 1152 1504 1536 1692 1838 2256 2304 2757 3008 3384 3676 4512 4608 5514 6016 6768 7352 8271 9024 11028 12032 13536 14704 16542 18048 22056 24064 27072 29408 33084 36096 43193 44112 54144 58816 66168 72192 86386 88224 108288 117632 129579 132336 172772 176448 216576 235264 259158 264672 345544 352896 388737 470528 518316 529344 691088 705792 777474 1036632 1058688 1382176 1411584 1554948 2073264 2117376 2764352 3109896 4146528 4234752 5528704 6219792 8293056 11057408 12439584 16586112 22114816 24879168 33172224 49758336 66344448 99516672 199033344