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199311024 = 24311735171
BaseRepresentation
bin10111110000100…
…11111010110000
3111220001001022210
423320103322300
5402010423044
631435532120
74640054463
oct1370237260
9456031283
10199311024
11a2562360
12568ba040
13323a5823
141c6832da
15127701b9
hexbe13eb0

199311024 has 80 divisors (see below), whose sum is σ = 569499264. Its totient is φ = 59558400.

The previous prime is 199311023. The next prime is 199311053. The reversal of 199311024 is 420113991.

It is a junction number, because it is equal to n+sod(n) for n = 199310982 and 199311000.

It is not an unprimeable number, because it can be changed into a prime (199311023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35959 + ... + 41129.

Almost surely, 2199311024 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 199311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284749632).

199311024 is an abundant number, since it is smaller than the sum of its proper divisors (370188240).

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

199311024 is a wasteful number, since it uses less digits than its factorization.

199311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 199311024 is about 14117.7556289943. The cubic root of 199311024 is about 584.1312490395.

The spelling of 199311024 in words is "one hundred ninety-nine million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 292 438 528 584 803 876 1168 1606 1752 2409 3212 3504 4818 5171 6424 9636 10342 12848 15513 19272 20684 31026 38544 41368 56881 62052 82736 113762 124104 170643 227524 248208 341286 377483 455048 682572 754966 910096 1132449 1365144 1509932 2264898 2730288 3019864 4152313 4529796 6039728 8304626 9059592 12456939 16609252 18119184 24913878 33218504 49827756 66437008 99655512 199311024