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196442316 = 223274119013
BaseRepresentation
bin10111011010101…
…11100011001100
3111200122022012100
423231113203030
5400242123231
631254235100
74603506060
oct1355274314
9450568170
10196442316
11a0983024
1255955a90
133190cb75
141c137aa0
15123a51e6
hexbb578cc

196442316 has 72 divisors (see below), whose sum is σ = 581372064. Its totient is φ = 54754560.

The previous prime is 196442249. The next prime is 196442339. The reversal of 196442316 is 613244691.

196442316 is a `hidden beast` number, since 1 + 9 + 644 + 2 + 3 + 1 + 6 = 666.

196442316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826 + ... + 19838.

It is an arithmetic number, because the mean of its divisors is an integer number (8074612).

Almost surely, 2196442316 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 196442316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290686032).

196442316 is an abundant number, since it is smaller than the sum of its proper divisors (384929748).

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

196442316 is a wasteful number, since it uses less digits than its factorization.

196442316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19071 (or 19066 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 196442316 is about 14015.7880977132. The cubic root of 196442316 is about 581.3152040622.

The spelling of 196442316 in words is "one hundred ninety-six million, four hundred forty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 19013 38026 57039 76052 114078 133091 171117 228156 266182 342234 399273 532364 684468 779533 798546 1197819 1559066 1597092 2338599 2395638 3118132 4677198 4791276 5456731 7015797 9354396 10913462 14031594 16370193 21826924 28063188 32740386 49110579 65480772 98221158 196442316