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20216430 = 23251337467
BaseRepresentation
bin100110100011…
…1101001101110
31102001002201200
41031013221232
520133411210
62001150330
7333560013
oct115075156
942032650
1020216430
11104589a3
12692b3a6
13425aab0
14298370a
151b950c0
hex1347a6e

20216430 has 96 divisors (see below), whose sum is σ = 58260384. Its totient is φ = 4831488.

The previous prime is 20216411. The next prime is 20216447. The reversal of 20216430 is 3461202.

It is a happy number.

20216430 is a `hidden beast` number, since 2 + 0 + 21 + 643 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43057 + ... + 43523.

It is an arithmetic number, because the mean of its divisors is an integer number (606879).

Almost surely, 220216430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20216430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29130192).

20216430 is an abundant number, since it is smaller than the sum of its proper divisors (38043954).

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

20216430 is a wasteful number, since it uses less digits than its factorization.

20216430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

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

The square root of 20216430 is about 4496.2684528395. The cubic root of 20216430 is about 272.4173865102.

Adding to 20216430 its reverse (3461202), we get a palindrome (23677632).

The spelling of 20216430 in words is "twenty million, two hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 222 234 333 370 390 467 481 555 585 666 934 962 1110 1170 1401 1443 1665 2335 2405 2802 2886 3330 4203 4329 4670 4810 6071 7005 7215 8406 8658 12142 14010 14430 17279 18213 21015 21645 30355 34558 36426 42030 43290 51837 54639 60710 86395 91065 103674 109278 155511 172790 182130 224627 259185 273195 311022 449254 518370 546390 673881 777555 1123135 1347762 1555110 2021643 2246270 3369405 4043286 6738810 10108215 20216430