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197024256 = 29321113223
BaseRepresentation
bin10111011111001…
…01101000000000
3111201201212110200
423233211220000
5400414234011
631314525200
74611451512
oct1357455000
9451655420
10197024256
11a1240270
1255b96800
1331a84a00
141c249bb2
151246c856
hexbbe5a00

197024256 has 360 divisors, whose sum is σ = 700910496. Its totient is φ = 52715520.

The previous prime is 197024239. The next prime is 197024257. The reversal of 197024256 is 652420791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 197024256.

It is not an unprimeable number, because it can be changed into a prime (197024257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8566261 + ... + 8566283.

Almost surely, 2197024256 is an apocalyptic number.

197024256 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 197024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350455248).

197024256 is an abundant number, since it is smaller than the sum of its proper divisors (503886240).

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

197024256 is a wasteful number, since it uses less digits than its factorization.

197024256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 197024256 is about 14036.5329052441. The cubic root of 197024256 is about 581.8886668395. Note that the first 3 decimals are identical.

The spelling of 197024256 in words is "one hundred ninety-seven million, twenty-four thousand, two hundred fifty-six".