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195440256 = 2733115397
BaseRepresentation
bin10111010011000…
…10111010000000
3111121202101122000
423221202322000
5400013042011
631220544000
74562133444
oct1351427200
9447671560
10195440256
11a0359180
1255552000
133164ba2b
141bd56824
1512258356
hexba62e80

195440256 has 256 divisors, whose sum is σ = 647740800. Its totient is φ = 57507840.

The previous prime is 195440249. The next prime is 195440257. The reversal of 195440256 is 652044591.

195440256 is a `hidden beast` number, since 195 + 440 + 25 + 6 = 666.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 195440256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195440257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014800 + ... + 2014896.

Almost surely, 2195440256 is an apocalyptic number.

195440256 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 195440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

195440256 is an abundant number, since it is smaller than the sum of its proper divisors (452300544).

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

195440256 is a wasteful number, since it uses less digits than its factorization.

195440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 195440256 is about 13979.9948497845. The cubic root of 195440256 is about 580.3250813378.

The spelling of 195440256 in words is "one hundred ninety-five million, four hundred forty thousand, two hundred fifty-six".