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195342100 = 22525336857
BaseRepresentation
bin10111010010010…
…10111100010100
3111121120101222121
423221022330110
5400001421400
631214505324
74561244332
oct1351127424
9447511877
10195342100
11a02a1458
1255505244
1331616155
141bd2cb52
151223921a
hexba4af14

195342100 has 36 divisors (see below), whose sum is σ = 431902044. Its totient is φ = 76660480.

The previous prime is 195342079. The next prime is 195342107. The reversal of 195342100 is 1243591.

195342100 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 6 ways, for example, as 125316 + 195216784 = 354^2 + 13972^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195342107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13129 + ... + 23728.

It is an arithmetic number, because the mean of its divisors is an integer number (11997279).

Almost surely, 2195342100 is an apocalyptic number.

195342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195342100 is an abundant number, since it is smaller than the sum of its proper divisors (236559944).

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

195342100 is a wasteful number, since it uses less digits than its factorization.

195342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36924 (or 36917 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 195342100 is about 13976.4838210474. The cubic root of 195342100 is about 580.2279128073.

Adding to 195342100 its reverse (1243591), we get a palindrome (196585691).

The spelling of 195342100 in words is "one hundred ninety-five million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 36857 73714 147428 184285 368570 737140 921425 1842850 1953421 3685700 3906842 7813684 9767105 19534210 39068420 48835525 97671050 195342100