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195212460 = 2235191091571
BaseRepresentation
bin10111010001010…
…11010010101100
3111121022211011010
423220223102230
5344433244320
631212025220
74560164352
oct1350532254
9447284133
10195212460
11a0213013
1255462210
133159c141
141bcd77d2
1512210ae0
hexba2b4ac

195212460 has 96 divisors (see below), whose sum is σ = 581011200. Its totient is φ = 48833280.

The previous prime is 195212453. The next prime is 195212461. The reversal of 195212460 is 64212591.

195212460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (195212461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123475 + ... + 125045.

It is an arithmetic number, because the mean of its divisors is an integer number (6052200).

Almost surely, 2195212460 is an apocalyptic number.

195212460 is a gapful number since it is divisible by the number (10) 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 195212460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290505600).

195212460 is an abundant number, since it is smaller than the sum of its proper divisors (385798740).

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

195212460 is a wasteful number, since it uses less digits than its factorization.

195212460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 195212460 is about 13971.8452610956. The cubic root of 195212460 is about 580.0995271137.

The spelling of 195212460 in words is "one hundred ninety-five million, two hundred twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 109 114 190 218 228 285 327 380 436 545 570 654 1090 1140 1308 1571 1635 2071 2180 3142 3270 4142 4713 6213 6284 6540 7855 8284 9426 10355 12426 15710 18852 20710 23565 24852 29849 31065 31420 41420 47130 59698 62130 89547 94260 119396 124260 149245 171239 179094 298490 342478 358188 447735 513717 596980 684956 856195 895470 1027434 1712390 1790940 2054868 2568585 3253541 3424780 5137170 6507082 9760623 10274340 13014164 16267705 19521246 32535410 39042492 48803115 65070820 97606230 195212460