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195337032 = 233115031471
BaseRepresentation
bin10111010010010…
…01101101001000
3111121120011000220
423221021231020
5400001241112
631214430040
74561223502
oct1351115510
9447504026
10195337032
11a0298670
1255502320
1331613a57
141bd2ad72
151223798c
hexba49b48

195337032 has 64 divisors (see below), whose sum is σ = 534159360. Its totient is φ = 59035200.

The previous prime is 195337031. The next prime is 195337133. The reversal of 195337032 is 230733591.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 195336984 and 195337002.

It is not an unprimeable number, because it can be changed into a prime (195337031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132057 + ... + 133527.

It is an arithmetic number, because the mean of its divisors is an integer number (8346240).

Almost surely, 2195337032 is an apocalyptic number.

195337032 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 195337032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267079680).

195337032 is an abundant number, since it is smaller than the sum of its proper divisors (338822328).

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

195337032 is a wasteful number, since it uses less digits than its factorization.

195337032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 195337032 is about 13976.3025153293. The cubic root of 195337032 is about 580.2228949088. Note that the first 3 decimals are identical.

It can be divided in two parts, 19533 and 7032, that added together give a triangular number (26565 = T230).

The spelling of 195337032 in words is "one hundred ninety-five million, three hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 503 1006 1471 1509 2012 2942 3018 4024 4413 5533 5884 6036 8826 11066 11768 12072 16181 16599 17652 22132 32362 33198 35304 44264 48543 64724 66396 97086 129448 132792 194172 388344 739913 1479826 2219739 2959652 4439478 5919304 8139043 8878956 16278086 17757912 24417129 32556172 48834258 65112344 97668516 195337032