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214225442472 = 2331719414211601
BaseRepresentation
bin1100011110000011010…
…1001101011010101000
3202110221201222001000010
43013200311031122220
512002213203124342
6242225214411520
721322464134136
oct3074065153250
9673851861003
10214225442472
118294174a728
1235627800ba0
1317280552a62
14a5234c0756
15588c28a29c
hex31e0d4d6a8

214225442472 has 256 divisors, whose sum is σ = 613307116800. Its totient is φ = 61931520000.

The previous prime is 214225442471. The next prime is 214225442503. The reversal of 214225442472 is 274244522412.

It is a self number, because there is not a number n which added to its sum of digits gives 214225442472.

It is not an unprimeable number, because it can be changed into a prime (214225442471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133806472 + ... + 133808072.

It is an arithmetic number, because the mean of its divisors is an integer number (2395730925).

Almost surely, 2214225442472 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 214225442472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306653558400).

214225442472 is an abundant number, since it is smaller than the sum of its proper divisors (399081674328).

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

214225442472 is a wasteful number, since it uses less digits than its factorization.

214225442472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2104 counting only the distinct ones).

The product of its digits is 286720, while the sum is 39.

Adding to 214225442472 its reverse (274244522412), we get a palindrome (488469964884).

The spelling of 214225442472 in words is "two hundred fourteen billion, two hundred twenty-five million, four hundred forty-two thousand, four hundred seventy-two".