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198967314 = 237133071187
BaseRepresentation
bin10111101110000…
…00000000010010
3111212101120211210
423313000000102
5401413423224
631424320550
74634123430
oct1367000022
9455346753
10198967314
11a23480a7
1256773156
13322b5250
141c5d3d50
1512703429
hexbdc0012

198967314 has 64 divisors (see below), whose sum is σ = 491774976. Its totient is φ = 52259904.

The previous prime is 198967313. The next prime is 198967333. The reversal of 198967314 is 413769891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (198967313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167029 + ... + 168215.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2198967314 is an apocalyptic number.

198967314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198967314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

198967314 is an abundant number, since it is smaller than the sum of its proper divisors (292807662).

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

198967314 is a wasteful number, since it uses less digits than its factorization.

198967314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519.

The product of its digits is 326592, while the sum is 48.

The square root of 198967314 is about 14105.5774075364. The cubic root of 198967314 is about 583.7952795449.

The spelling of 198967314 in words is "one hundred ninety-eight million, nine hundred sixty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 307 546 614 921 1187 1842 2149 2374 3561 3991 4298 6447 7122 7982 8309 11973 12894 15431 16618 23946 24927 27937 30862 46293 49854 55874 83811 92586 108017 167622 216034 324051 364409 648102 728818 1093227 2186454 2550863 4737317 5101726 7652589 9474634 14211951 15305178 28423902 33161219 66322438 99483657 198967314