Search a number
-
+
214241012222420 = 22567715822822173
BaseRepresentation
bin110000101101100111011111…
…011011100000100111010100
31001002120020111111120110110002
4300231213133123200213110
5211040111043112104140
62035352543504550432
763061255001040641
oct6055473733404724
91032506444513402
10214241012222420
116229a115169927
1220041415622418
139270ac1210a11
143ac946ad50dc8
1519b7d78be1415
hexc2d9df6e09d4

214241012222420 has 24 divisors (see below), whose sum is σ = 450570684226824. Its totient is φ = 85569822306176.

The previous prime is 214241012222417. The next prime is 214241012222423. The reversal of 214241012222420 is 24222210142412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214241012222417) and next prime (214241012222423).

It can be written as a sum of positive squares in 4 ways, for example, as 143649525510544 + 70591486711876 = 11985388^2 + 8401874^2 .

It is a super-2 number, since 2×2142410122224202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214241012222423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7911397547 + ... + 7911424626.

It is an arithmetic number, because the mean of its divisors is an integer number (18773778509451).

Almost surely, 2214241012222420 is an apocalyptic number.

214241012222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214241012222420 is an abundant number, since it is smaller than the sum of its proper divisors (236329672004404).

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

214241012222420 is a wasteful number, since it uses less digits than its factorization.

214241012222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15822822859 (or 15822822857 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 214241012222420 its reverse (24222210142412), we get a palindrome (238463222364832).

The spelling of 214241012222420 in words is "two hundred fourteen trillion, two hundred forty-one billion, twelve million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 677 1354 2708 3385 6770 13540 15822822173 31645644346 63291288692 79114110865 158228221730 316456443460 10712050611121 21424101222242 42848202444484 53560253055605 107120506111210 214241012222420