Search a number
-
+
196338320 = 2452454229
BaseRepresentation
bin10111011001111…
…10001010010000
3111200110000112122
423230332022100
5400230311240
631252113412
74602563633
oct1354761220
9450400478
10196338320
11a0911982
1255905868
13318a4729
141c10bc1a
15123844b5
hexbb3e290

196338320 has 20 divisors (see below), whose sum is σ = 456486780. Its totient is φ = 78535296.

The previous prime is 196338313. The next prime is 196338347. The reversal of 196338320 is 23833691.

196338320 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 2 ways, for example, as 116985856 + 79352464 = 10816^2 + 8908^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1227035 + ... + 1227194.

It is an arithmetic number, because the mean of its divisors is an integer number (22824339).

Almost surely, 2196338320 is an apocalyptic number.

196338320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196338320 is an abundant number, since it is smaller than the sum of its proper divisors (260148460).

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

196338320 is a wasteful number, since it uses less digits than its factorization.

196338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454242 (or 2454236 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 196338320 is about 14012.0776475154. The cubic root of 196338320 is about 581.2126037528.

The spelling of 196338320 in words is "one hundred ninety-six million, three hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2454229 4908458 9816916 12271145 19633832 24542290 39267664 49084580 98169160 196338320