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216020640 = 253511163251
BaseRepresentation
bin11001110000000…
…11011010100000
3120001110222121110
430320003122200
5420300130030
633234023320
75232100533
oct1470033240
9501428543
10216020640
11100a35560
1260417b40
13359a6384
1420992a1a
1513e711b0
hexce036a0

216020640 has 192 divisors, whose sum is σ = 749855232. Its totient is φ = 51840000.

The previous prime is 216020639. The next prime is 216020723. The reversal of 216020640 is 46020612.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860515 + ... + 860765.

It is an arithmetic number, because the mean of its divisors is an integer number (3905496).

Almost surely, 2216020640 is an apocalyptic number.

216020640 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 216020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374927616).

216020640 is an abundant number, since it is smaller than the sum of its proper divisors (533834592).

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

216020640 is a wasteful number, since it uses less digits than its factorization.

216020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 216020640 is about 14697.6406269850. The cubic root of 216020640 is about 600.0191105024.

The spelling of 216020640 in words is "two hundred sixteen million, twenty thousand, six hundred forty".