Search a number
-
+
197241352 = 23711973301
BaseRepresentation
bin10111100000110…
…10101000001000
3111202010220021021
423300122220020
5400443210402
631323322224
74613344450
oct1360325010
9452126237
10197241352
11a1379390
1256080374
1331b2c779
141c2a4d60
15124b1d37
hexbc1aa08

197241352 has 64 divisors (see below), whose sum is σ = 465978240. Its totient is φ = 76032000.

The previous prime is 197241271. The next prime is 197241371. The reversal of 197241352 is 253142791.

It is a happy number.

197241352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58102 + ... + 61402.

It is an arithmetic number, because the mean of its divisors is an integer number (7280910).

Almost surely, 2197241352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197241352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232989120).

197241352 is an abundant number, since it is smaller than the sum of its proper divisors (268736888).

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

197241352 is a wasteful number, since it uses less digits than its factorization.

197241352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3418 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 197241352 is about 14044.2640248608. The cubic root of 197241352 is about 582.1023111467.

The spelling of 197241352 in words is "one hundred ninety-seven million, two hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 97 154 194 308 388 616 679 776 1067 1358 2134 2716 3301 4268 5432 6602 7469 8536 13204 14938 23107 26408 29876 36311 46214 59752 72622 92428 145244 184856 254177 290488 320197 508354 640394 1016708 1280788 2033416 2241379 2561576 3522167 4482758 7044334 8965516 14088668 17931032 24655169 28177336 49310338 98620676 197241352