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195001668 = 223722291
BaseRepresentation
bin10111001111101…
…11110101000100
3111120221010000000
423213313311010
5344410023133
631203321300
74555325661
oct1347676504
9446833000
10195001668
11a0089704
1255380230
1331527204
141bc80a68
15121bd413
hexb9f7d44

195001668 has 48 divisors (see below), whose sum is σ = 511824320. Its totient is φ = 64997640.

The previous prime is 195001663. The next prime is 195001669. The reversal of 195001668 is 866100591.

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 (195001663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398 + ... + 19893.

Almost surely, 2195001668 is an apocalyptic number.

195001668 is a gapful number since it is divisible by the number (18) 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 195001668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255912160).

195001668 is an abundant number, since it is smaller than the sum of its proper divisors (316822652).

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

195001668 is an equidigital number, since it uses as much as digits as its factorization.

195001668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22316 (or 22296 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 195001668 is about 13964.2997676217. The cubic root of 195001668 is about 579.8906531873.

The spelling of 195001668 in words is "one hundred ninety-five million, one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 22291 44582 66873 89164 133746 200619 267492 401238 601857 802476 1203714 1805571 2407428 3611142 5416713 7222284 10833426 16250139 21666852 32500278 48750417 65000556 97500834 195001668