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20214016 = 282812
BaseRepresentation
bin100110100011…
…1000100000000
31102000222102021
41031013010000
520133322031
62001131224
7333546664
oct115070400
942028367
1020214016
11104570a9
126929b14
134259974
1429828a4
151b94511
hex1347100

20214016 has 27 divisors (see below), whose sum is σ = 40493173. Its totient is φ = 10071040.

The previous prime is 20214013. The next prime is 20214017. The reversal of 20214016 is 61041202.

The square root of 20214016 is 4496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 6553600 = 3696^2 + 2560^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20214013) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 71796 + ... + 72076.

Almost surely, 220214016 is an apocalyptic number.

20214016 is the 4496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20214016

20214016 is an abundant number, since it is smaller than the sum of its proper divisors (20279157).

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

20214016 is an frugal number, since it uses more digits than its factorization.

20214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 20214016 is about 272.4065431557.

Multiplying 20214016 by its sum of digits (16), we get a square (323424256 = 179842).

20214016 divided by its sum of digits (16) gives a square (1263376 = 11242).

Adding to 20214016 its reverse (61041202), we get a palindrome (81255218).

The spelling of 20214016 in words is "twenty million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 281 562 1124 2248 4496 8992 17984 35968 71936 78961 157922 315844 631688 1263376 2526752 5053504 10107008 20214016