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197306112 = 2831991291
BaseRepresentation
bin10111100001010…
…10011100000000
3111202021012002210
423300222130000
5401002243422
631324542120
74614034323
oct1360523400
9452235083
10197306112
11a1413003
12560b1940
1331b530a3
141c2c07ba
15124c610c
hexbc2a700

197306112 has 72 divisors (see below), whose sum is σ = 528169600. Its totient is φ = 65387520.

The previous prime is 197306107. The next prime is 197306119. The reversal of 197306112 is 211603791.

197306112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 197306112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197306119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152187 + ... + 153477.

Almost surely, 2197306112 is an apocalyptic number.

197306112 is a gapful number since it is divisible by the number (12) 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 197306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264084800).

197306112 is an abundant number, since it is smaller than the sum of its proper divisors (330863488).

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

197306112 is a wasteful number, since it uses less digits than its factorization.

197306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 197306112 is about 14046.5694032386. The cubic root of 197306112 is about 582.1660111440.

The spelling of 197306112 in words is "one hundred ninety-seven million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 597 768 796 1194 1291 1592 2388 2582 3184 3873 4776 5164 6368 7746 9552 10328 12736 15492 19104 20656 25472 30984 38208 41312 50944 61968 76416 82624 123936 152832 165248 247872 256909 330496 495744 513818 770727 991488 1027636 1541454 2055272 3082908 4110544 6165816 8221088 12331632 16442176 24663264 32884352 49326528 65768704 98653056 197306112