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195160900 = 22521121272
BaseRepresentation
bin10111010000111…
…10101101000100
3111121020012102111
423220132231010
5344430122100
631210550404
74556561134
oct1350365504
9447205374
10195160900
11a0188300
1255438404
133158182c
141bcc2ac4
15122006ba
hexba1eb44

195160900 has 81 divisors (see below), whose sum is σ = 469193277. Its totient is φ = 70408800.

The previous prime is 195160879. The next prime is 195160909. The reversal of 195160900 is 9061591.

The square root of 195160900 is 13970.

It is a perfect power (a square), and thus also a powerful number.

195160900 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 only one way, i.e., 70257924 + 124902976 = 8382^2 + 11176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195160909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1536637 + ... + 1536763.

Almost surely, 2195160900 is an apocalyptic number.

195160900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195160900 is the 13970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195160900

195160900 is an abundant number, since it is smaller than the sum of its proper divisors (274032377).

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

195160900 is a wasteful number, since it uses less digits than its factorization.

195160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The cubic root of 195160900 is about 580.0484501738.

The spelling of 195160900 in words is "one hundred ninety-five million, one hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 127 220 242 254 275 484 508 550 605 635 1100 1210 1270 1397 2420 2540 2794 3025 3175 5588 6050 6350 6985 12100 12700 13970 15367 16129 27940 30734 32258 34925 61468 64516 69850 76835 80645 139700 153670 161290 177419 307340 322580 354838 384175 403225 709676 768350 806450 887095 1536700 1612900 1774190 1951609 3548380 3903218 4435475 7806436 8870950 9758045 17741900 19516090 39032180 48790225 97580450 195160900