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196995312 = 24323314133
BaseRepresentation
bin10111011110111…
…10100011110000
3111201200101202200
423233132203300
5400412322222
631314143200
74611301233
oct1357364360
9451611680
10196995312
11a1220548
1255b81b00
1331a74797
141c23d41a
1512463eac
hexbbde8f0

196995312 has 60 divisors (see below), whose sum is σ = 553112664. Its totient is φ = 65450880.

The previous prime is 196995307. The next prime is 196995317. The reversal of 196995312 is 213599691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (196995307) and next prime (196995317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196995317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45598 + ... + 49730.

Almost surely, 2196995312 is an apocalyptic number.

196995312 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 196995312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276556332).

196995312 is an abundant number, since it is smaller than the sum of its proper divisors (356117352).

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

196995312 is a wasteful number, since it uses less digits than its factorization.

196995312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4469 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 196995312 is about 14035.5018435395. The cubic root of 196995312 is about 581.8601711765.

The spelling of 196995312 in words is "one hundred ninety-six million, nine hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1324 1986 2648 2979 3972 4133 5296 5958 7944 8266 11916 12399 15888 16532 23832 24798 33064 37197 47664 49596 66128 74394 99192 148788 198384 297576 595152 1368023 2736046 4104069 5472092 8208138 10944184 12312207 16416276 21888368 24624414 32832552 49248828 65665104 98497656 196995312