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197201056 = 25131094349
BaseRepresentation
bin10111100000100…
…00110010100000
3111202001211222211
423300100302200
5400440413211
631322411504
74613116123
oct1360206240
9452054884
10197201056
11a1351088
1256060b94
1331b17320
141c2943ba
15124a4e21
hexbc10ca0

197201056 has 48 divisors (see below), whose sum is σ = 422037000. Its totient is φ = 90160128.

The previous prime is 197201047. The next prime is 197201063. The reversal of 197201056 is 650102791.

It can be written as a sum of positive squares in 4 ways, for example, as 94867600 + 102333456 = 9740^2 + 10116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43170 + ... + 47518.

Almost surely, 2197201056 is an apocalyptic number.

197201056 is a gapful number since it is divisible by the number (16) 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 197201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211018500).

197201056 is an abundant number, since it is smaller than the sum of its proper divisors (224835944).

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

197201056 is a wasteful number, since it uses less digits than its factorization.

197201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 197201056 is about 14042.8293445445. The cubic root of 197201056 is about 582.0626676811.

The spelling of 197201056 in words is "one hundred ninety-seven million, two hundred one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3488 4349 5668 8698 11336 17396 22672 34792 45344 56537 69584 113074 139168 226148 452296 474041 904592 948082 1809184 1896164 3792328 6162533 7584656 12325066 15169312 24650132 49300264 98600528 197201056