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196630224 = 2437761769
BaseRepresentation
bin10111011100001…
…01011011010000
3111200222211221220
423232011123100
5400314131344
631302245040
74605220650
oct1356053320
9450884856
10196630224
11a0aa121a
1255a26780
133197755b
141c186360
15123e0c19
hexbb856d0

196630224 has 80 divisors (see below), whose sum is σ = 582046080. Its totient is φ = 56033280.

The previous prime is 196630157. The next prime is 196630229. The reversal of 196630224 is 422036691.

196630224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196630229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255312 + ... + 256080.

It is an arithmetic number, because the mean of its divisors is an integer number (7275576).

Almost surely, 2196630224 is an apocalyptic number.

196630224 is a gapful number since it is divisible by the number (14) 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 196630224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291023040).

196630224 is an abundant number, since it is smaller than the sum of its proper divisors (385415856).

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

196630224 is a wasteful number, since it uses less digits than its factorization.

196630224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 196630224 is about 14022.4899358138. The cubic root of 196630224 is about 581.5004984338.

The spelling of 196630224 in words is "one hundred ninety-six million, six hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 761 769 1522 1538 2283 2307 3044 3076 4566 4614 5327 5383 6088 6152 9132 9228 10654 10766 12176 12304 15981 16149 18264 18456 21308 21532 31962 32298 36528 36912 42616 43064 63924 64596 85232 86128 127848 129192 255696 258384 585209 1170418 1755627 2340836 3511254 4096463 4681672 7022508 8192926 9363344 12289389 14045016 16385852 24578778 28090032 32771704 49157556 65543408 98315112 196630224