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194442372 = 2232531011009
BaseRepresentation
bin10111001011011…
…11010010000100
3111112212200210100
423211233102010
5344234123442
631143324100
74550506245
oct1345572204
9445780710
10194442372
119a837483
1255150630
133138c777
141bb76ccc
151210c84c
hexb96f484

194442372 has 72 divisors (see below), whose sum is σ = 506240280. Its totient is φ = 62899200.

The previous prime is 194442359. The next prime is 194442373. The reversal of 194442372 is 273244491.

194442372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80892036 + 113550336 = 8994^2 + 10656^2 .

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 (194442373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192204 + ... + 193212.

It is an arithmetic number, because the mean of its divisors is an integer number (7031115).

Almost surely, 2194442372 is an apocalyptic number.

194442372 is a gapful number since it is divisible by the number (12) 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 194442372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253120140).

194442372 is an abundant number, since it is smaller than the sum of its proper divisors (311797908).

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

194442372 is a wasteful number, since it uses less digits than its factorization.

194442372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1168 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 194442372 is about 13944.2594640232. The cubic root of 194442372 is about 579.3357158913.

The spelling of 194442372 in words is "one hundred ninety-four million, four hundred forty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 101 106 159 202 212 303 318 404 477 606 636 909 954 1009 1212 1818 1908 2018 3027 3636 4036 5353 6054 9081 10706 12108 16059 18162 21412 32118 36324 48177 53477 64236 96354 101909 106954 160431 192708 203818 213908 305727 320862 407636 481293 611454 641724 917181 962586 1222908 1834362 1925172 3668724 5401177 10802354 16203531 21604708 32407062 48610593 64814124 97221186 194442372