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216106480 = 2452701331
BaseRepresentation
bin11001110000110…
…00010111110000
3120001122100100201
430320120113300
5420310401410
633235524544
75232606022
oct1470302760
9501570321
10216106480
11100a93aa7
1260459754
1335a06475
14209b6012
1513e8b83a
hexce185f0

216106480 has 20 divisors (see below), whose sum is σ = 502447752. Its totient is φ = 86442560.

The previous prime is 216106477. The next prime is 216106481. The reversal of 216106480 is 84601612.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216106481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1350586 + ... + 1350745.

Almost surely, 2216106480 is an apocalyptic number.

216106480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216106480 is an abundant number, since it is smaller than the sum of its proper divisors (286341272).

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

216106480 is a wasteful number, since it uses less digits than its factorization.

216106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701344 (or 2701338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 216106480 is about 14700.5605335307. The cubic root of 216106480 is about 600.0985763962.

The spelling of 216106480 in words is "two hundred sixteen million, one hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2701331 5402662 10805324 13506655 21610648 27013310 43221296 54026620 108053240 216106480