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216023040 = 214325293
BaseRepresentation
bin11001110000001…
…00000000000000
3120001111002220100
430320010000000
5420300214130
633234042400
75232110532
oct1470040000
9501432810
10216023040
11100a37342
1260419400
13359a74ac
1420993852
1513e71c60
hexce04000

216023040 has 180 divisors, whose sum is σ = 751412844. Its totient is φ = 57409536.

The previous prime is 216022979. The next prime is 216023047. The reversal of 216023040 is 40320612.

It is a happy number.

216023040 is a `hidden beast` number, since 21 + 602 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150994944 + 65028096 = 12288^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (216023047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737134 + ... + 737426.

Almost surely, 2216023040 is an apocalyptic number.

216023040 is a gapful number since it is divisible by the number (20) 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 216023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375706422).

216023040 is an abundant number, since it is smaller than the sum of its proper divisors (535389804).

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

216023040 is an equidigital number, since it uses as much as digits as its factorization.

216023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 216023040 is about 14697.7222725156. The cubic root of 216023040 is about 600.0213325749.

Adding to 216023040 its reverse (40320612), we get a palindrome (256343652).

It can be divided in two parts, 21602 and 3040, that added together give a palindrome (24642).

The spelling of 216023040 in words is "two hundred sixteen million, twenty-three thousand, forty".