Search a number
-
+
197869056 = 2937211239
BaseRepresentation
bin10111100101100…
…11111000000000
3111210022210022120
423302303320000
5401123302211
631345004240
74621600500
oct1362637000
9453283276
10197869056
11a1767a50
1256323680
1331cbc3a8
141c3c9a00
1512587d06
hexbcb3e00

197869056 has 240 divisors, whose sum is σ = 671742720. Its totient is φ = 51179520.

The previous prime is 197869031. The next prime is 197869057. The reversal of 197869056 is 650968791.

It is a super-2 number, since 2×1978690562 = 78304326644662272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197869057) 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 23 ways as a sum of consecutive naturals, for example, 827785 + ... + 828023.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2197869056 is an apocalyptic number.

197869056 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 197869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

197869056 is an abundant number, since it is smaller than the sum of its proper divisors (473873664).

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

197869056 is a wasteful number, since it uses less digits than its factorization.

197869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 197869056 is about 14066.5936175038. The cubic root of 197869056 is about 582.7191544604.

The spelling of 197869056 in words is "one hundred ninety-seven million, eight hundred sixty-nine thousand, fifty-six".