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216013456 = 24312691619
BaseRepresentation
bin11001110000000…
…01101010010000
3120001110121202101
430320001222100
5420244412311
633233530144
75232040561
oct1470015220
9501417671
10216013456
11100a3011a
1260413954
13359a3019
1420990168
1513e6dec1
hexce01a90

216013456 has 40 divisors (see below), whose sum is σ = 433900800. Its totient is φ = 104069760.

The previous prime is 216013439. The next prime is 216013459. The reversal of 216013456 is 654310612.

It is not an unprimeable number, because it can be changed into a prime (216013459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132615 + ... + 134233.

It is an arithmetic number, because the mean of its divisors is an integer number (10847520).

Almost surely, 2216013456 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 216013456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216950400).

216013456 is an abundant number, since it is smaller than the sum of its proper divisors (217887344).

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

216013456 is a wasteful number, since it uses less digits than its factorization.

216013456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 216013456 is about 14697.3962319861. The cubic root of 216013456 is about 600.0124590005.

The spelling of 216013456 in words is "two hundred sixteen million, thirteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 248 269 496 538 1076 1619 2152 3238 4304 6476 8339 12952 16678 25904 33356 50189 66712 100378 133424 200756 401512 435511 803024 871022 1742044 3484088 6968176 13500841 27001682 54003364 108006728 216013456