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197301312 = 2633138783
BaseRepresentation
bin10111100001010…
…01010001000000
3111202020221112000
423300221101000
5401002120222
631324504000
74614014325
oct1360512100
9452227460
10197301312
11a140a43a
12560ab000
1331b50b50
141c2bcb4c
15124c49ac
hexbc29440

197301312 has 112 divisors (see below), whose sum is σ = 624718080. Its totient is φ = 60701184.

The previous prime is 197301289. The next prime is 197301317. The reversal of 197301312 is 213103791.

197301312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (197301317) 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, 18073 + ... + 26855.

It is an arithmetic number, because the mean of its divisors is an integer number (5577840).

Almost surely, 2197301312 is an apocalyptic number.

197301312 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 197301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312359040).

197301312 is an abundant number, since it is smaller than the sum of its proper divisors (427416768).

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

197301312 is a wasteful number, since it uses less digits than its factorization.

197301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8817 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 197301312 is about 14046.3985419751. The cubic root of 197301312 is about 582.1612901895.

The spelling of 197301312 in words is "one hundred ninety-seven million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 8783 11232 17566 22464 26349 35132 52698 70264 79047 105396 114179 140528 158094 210792 228358 237141 281056 316188 342537 421584 456716 474282 562112 632376 685074 843168 913432 948564 1027611 1264752 1370148 1686336 1826864 1897128 2055222 2529504 2740296 3082833 3653728 3794256 4110444 5059008 5480592 6165666 7307456 7588512 8220888 10961184 12331332 15177024 16441776 21922368 24662664 32883552 49325328 65767104 98650656 197301312