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198068688 = 24321578761
BaseRepresentation
bin10111100111001…
…00100111010000
3111210200221011100
423303210213100
5401201144223
631353144400
74623361506
oct1363444720
9453627140
10198068688
11a1893a34
12563bb100
133205c20c
141c43c676
15125c7043
hexbce49d0

198068688 has 60 divisors (see below), whose sum is σ = 557911588. Its totient is φ = 65594880.

The previous prime is 198068687. The next prime is 198068693. The reversal of 198068688 is 886860891.

198068688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 163635264 = 5868^2 + 12792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198068681) 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, 18228 + ... + 26988.

Almost surely, 2198068688 is an apocalyptic number.

198068688 is a gapful number since it is divisible by the number (18) 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 198068688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278955794).

198068688 is an abundant number, since it is smaller than the sum of its proper divisors (359842900).

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

198068688 is a wasteful number, since it uses less digits than its factorization.

198068688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8932 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 198068688 is about 14073.6877896307. The cubic root of 198068688 is about 582.9150589179.

The spelling of 198068688 in words is "one hundred ninety-eight million, sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 8761 11304 17522 22608 26283 35044 52566 70088 78849 105132 140176 157698 210264 315396 420528 630792 1261584 1375477 2750954 4126431 5501908 8252862 11003816 12379293 16505724 22007632 24758586 33011448 49517172 66022896 99034344 198068688