Search a number
-
+
10220321214 = 232567795623
BaseRepresentation
bin10011000010010110…
…11011100110111110
3222101021100010000100
421201023123212332
5131412400234324
64410052541530
7511161203565
oct114113334676
928337303010
1010220321214
114375117664
121b929218a6
13c6b53b15c
146cd514bdc
153ec3cd4c9
hex2612db9be

10220321214 has 12 divisors (see below), whose sum is σ = 22144029336. Its totient is φ = 3406773732.

The previous prime is 10220321131. The next prime is 10220321219. The reversal of 10220321214 is 41212302201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 567795623 = 10220321214 / (1 + 0 + 2 + 2 + 0 + 3 + 2 + 1 + 2 + 1 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220321219) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 283897794 + ... + 283897829.

It is an arithmetic number, because the mean of its divisors is an integer number (1845335778).

Almost surely, 210220321214 is an apocalyptic number.

10220321214 is an abundant number, since it is smaller than the sum of its proper divisors (11923708122).

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

10220321214 is a wasteful number, since it uses less digits than its factorization.

10220321214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567795631 (or 567795628 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10220321214 its reverse (41212302201), we get a palindrome (51432623415).

The spelling of 10220321214 in words is "ten billion, two hundred twenty million, three hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 567795623 1135591246 1703386869 3406773738 5110160607 10220321214