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196215120 = 243253159149
BaseRepresentation
bin10111011001000…
…00000101010000
3111200012202112200
423230200011100
5400212340440
631245323200
74601541513
oct1354400520
9450182480
10196215120
11a0838362
1255866500
133186062a
141c0b8d7a
151235cc30
hexbb20150

196215120 has 240 divisors, whose sum is σ = 696384000. Its totient is φ = 49443840.

The previous prime is 196215091. The next prime is 196215133. The reversal of 196215120 is 21512691.

196215120 is a `hidden beast` number, since 19 + 621 + 5 + 1 + 20 = 666.

196215120 is digitally balanced in base 3, 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 (240).

It is a super-2 number, since 2×1962151202 = 77000746633228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316806 + ... + 1316954.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2196215120 is an apocalyptic number.

196215120 is a gapful number since it is divisible by the number (10) 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 196215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

196215120 is an abundant number, since it is smaller than the sum of its proper divisors (500168880).

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

196215120 is a wasteful number, since it uses less digits than its factorization.

196215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 196215120 is about 14007.6807502170. The cubic root of 196215120 is about 581.0910102788.

The spelling of 196215120 in words is "one hundred ninety-six million, two hundred fifteen thousand, one hundred twenty".