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197814960 = 243457389
BaseRepresentation
bin10111100101001…
…10101010110000
3111210020001010000
423302212222300
5401120034320
631343510000
74621254000
oct1362465260
9453201100
10197814960
11a1730342
12562b8300
1331ca0895
141c3b4000
1512576c90
hexbca6ab0

197814960 has 400 divisors, whose sum is σ = 810216000. Its totient is φ = 44706816.

The previous prime is 197814959. The next prime is 197814961. The reversal of 197814960 is 69418791.

It is a happy number.

197814960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (197814959) and next prime (197814961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (197814961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222596 + ... + 2222684.

It is an arithmetic number, because the mean of its divisors is an integer number (2025540).

Almost surely, 2197814960 is an apocalyptic number.

197814960 is a gapful number since it is divisible by the number (10) 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 197814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108000).

197814960 is an abundant number, since it is smaller than the sum of its proper divisors (612401040).

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

197814960 is an equidigital number, since it uses as much as digits as its factorization.

197814960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 197814960 is about 14064.6706324748. The cubic root of 197814960 is about 582.6660458555. Note that the first 3 decimals are identical.

The spelling of 197814960 in words is "one hundred ninety-seven million, eight hundred fourteen thousand, nine hundred sixty".