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196580224 = 2711313591
BaseRepresentation
bin10111011011110…
…01001110000000
3111200220022101001
423231321032000
5400311031344
631301221344
74604622121
oct1355711600
9450808331
10196580224
11a0a676a5
1255a01854
133195a879
141c172048
15123d0ed4
hexbb79380

196580224 has 32 divisors (see below), whose sum is σ = 395119440. Its totient is φ = 97413120.

The previous prime is 196580201. The next prime is 196580227. The reversal of 196580224 is 422085691.

196580224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196580227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7669 + ... + 21259.

Almost surely, 2196580224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197559720).

196580224 is an abundant number, since it is smaller than the sum of its proper divisors (198539216).

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

196580224 is a wasteful number, since it uses less digits than its factorization.

196580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718 (or 13706 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 196580224 is about 14020.7069721894. The cubic root of 196580224 is about 581.4512054188.

The spelling of 196580224 in words is "one hundred ninety-six million, five hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 13591 14464 27182 54364 108728 217456 434912 869824 1535783 1739648 3071566 6143132 12286264 24572528 49145056 98290112 196580224