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23214303420 = 2235711172371181
BaseRepresentation
bin10101100111101011…
…100010100010111100
32012220211210210121120
4111213223202202330
5340020330202140
614355311030540
71451162215620
oct254753424274
965824723546
1023214303420
119932961830
1245ba50b450
13225c5b3a19
1411a3155180
1590d0421d0
hex567ae28bc

23214303420 has 768 divisors, whose sum is σ = 91299446784. Its totient is φ = 4257792000.

The previous prime is 23214303391. The next prime is 23214303451. The reversal of 23214303420 is 2430341232.

It is a super-4 number, since 4×232143034204 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128255730 + ... + 128255910.

It is an arithmetic number, because the mean of its divisors is an integer number (118879488).

Almost surely, 223214303420 is an apocalyptic number.

23214303420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45649723392).

23214303420 is an abundant number, since it is smaller than the sum of its proper divisors (68085143364).

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

23214303420 is a wasteful number, since it uses less digits than its factorization.

23214303420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23214303420 its reverse (2430341232), we get a palindrome (25644644652).

The spelling of 23214303420 in words is "twenty-three billion, two hundred fourteen million, three hundred three thousand, four hundred twenty".