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195453216 = 25337171901
BaseRepresentation
bin10111010011001…
…10000100100000
3111121210001102000
423221212010200
5400014000331
631221124000
74562216310
oct1351460440
9447701360
10195453216
11a0367992
1255559600
13316548ba
141bd5b440
151225c0e6
hexba66120

195453216 has 192 divisors, whose sum is σ = 690197760. Its totient is φ = 52531200.

The previous prime is 195453197. The next prime is 195453217. The reversal of 195453216 is 612354591.

195453216 is a `hidden beast` number, since 195 + 453 + 2 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (195453217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101866 + ... + 103766.

It is an arithmetic number, because the mean of its divisors is an integer number (3594780).

Almost surely, 2195453216 is an apocalyptic number.

195453216 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 195453216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345098880).

195453216 is an abundant number, since it is smaller than the sum of its proper divisors (494744544).

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

195453216 is a wasteful number, since it uses less digits than its factorization.

195453216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1930 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 195453216 is about 13980.4583615846. The cubic root of 195453216 is about 580.3379085260.

The spelling of 195453216 in words is "one hundred ninety-five million, four hundred fifty-three thousand, two hundred sixteen".