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320212420 = 2251110114411
BaseRepresentation
bin10011000101100…
…000110111000100
3211022112110212021
4103011200313010
51123433244140
651435132524
710635521623
oct2305406704
9738473767
10320212420
1115482a370
128b2a4144
1351456b08
14307556ba
151d1a2b4a
hex13160dc4

320212420 has 48 divisors (see below), whose sum is σ = 740892096. Its totient is φ = 115280000.

The previous prime is 320212381. The next prime is 320212469. The reversal of 320212420 is 24212023.

It is a junction number, because it is equal to n+sod(n) for n = 320212394 and 320212403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15015 + ... + 29425.

It is an arithmetic number, because the mean of its divisors is an integer number (15435252).

Almost surely, 2320212420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370446048).

320212420 is an abundant number, since it is smaller than the sum of its proper divisors (420679676).

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

320212420 is a wasteful number, since it uses less digits than its factorization.

320212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14532 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 320212420 is about 17894.4801545057. The cubic root of 320212420 is about 684.1416923154.

Adding to 320212420 its reverse (24212023), we get a palindrome (344424443).

The spelling of 320212420 in words is "three hundred twenty million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 14411 22220 28822 57644 72055 144110 158521 288220 317042 634084 792605 1455511 1585210 2911022 3170420 5822044 7277555 14555110 16010621 29110220 32021242 64042484 80053105 160106210 320212420