Search a number
-
+
214042224241220 = 22510702111212061
BaseRepresentation
bin110000101010101110010110…
…101111100010101001000100
31001001212020101121220201011212
4300222232112233202221010
5211023331433401204340
62035121350152350552
763041016565060304
oct6052562657425104
91031766347821155
10214042224241220
1162222885573361
122000a9979a5458
13925813103373b
143abd9adc0b604
1519b2ae1d7da65
hexc2ab96be2a44

214042224241220 has 12 divisors (see below), whose sum is σ = 449488670906604. Its totient is φ = 85616889696480.

The previous prime is 214042224241169. The next prime is 214042224241229. The reversal of 214042224241220 is 22142422240412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64366378853956 + 149675845387264 = 8022866^2 + 12234208^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (214042224241229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5351055606011 + ... + 5351055606050.

It is an arithmetic number, because the mean of its divisors is an integer number (37457389242217).

Almost surely, 2214042224241220 is an apocalyptic number.

214042224241220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214042224241220 is an abundant number, since it is smaller than the sum of its proper divisors (235446446665384).

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

214042224241220 is a wasteful number, since it uses less digits than its factorization.

214042224241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702111212070 (or 10702111212068 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 214042224241220 its reverse (22142422240412), we get a palindrome (236184646481632).

The spelling of 214042224241220 in words is "two hundred fourteen trillion, forty-two billion, two hundred twenty-four million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10702111212061 21404222424122 42808444848244 53510556060305 107021112120610 214042224241220