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20216034 = 2332341397
BaseRepresentation
bin100110100011…
…1100011100010
31102001002012000
41031013203202
520133403114
62001144430
7333555606
oct115074342
942032160
1020216034
1110458673
12692b116
13425a867
142983506
151b94e09
hex13478e2

20216034 has 64 divisors (see below), whose sum is σ = 48142080. Its totient is φ = 6272640.

The previous prime is 20216033. The next prime is 20216047. The reversal of 20216034 is 43061202.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20215998 and 20216016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20216033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50724 + ... + 51120.

It is an arithmetic number, because the mean of its divisors is an integer number (752220).

Almost surely, 220216034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20216034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071040).

20216034 is an abundant number, since it is smaller than the sum of its proper divisors (27926046).

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

20216034 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 20216034 = (42032160)9.

20216034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

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

The square root of 20216034 is about 4496.2244161074. The cubic root of 20216034 is about 272.4156077921.

Adding to 20216034 its reverse (43061202), we get a palindrome (63277236).

The spelling of 20216034 in words is "twenty million, two hundred sixteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 207 246 369 397 414 621 738 794 943 1107 1191 1242 1886 2214 2382 2829 3573 5658 7146 8487 9131 10719 16277 16974 18262 21438 25461 27393 32554 48831 50922 54786 82179 97662 146493 164358 246537 292986 374371 439479 493074 748742 878958 1123113 2246226 3369339 6738678 10108017 20216034