Search a number
-
+
22130312551424 = 2107115314933547
BaseRepresentation
bin1010000100000100111010…
…11010110001110000000000
32220100122012112100212012022
411002002131122301300000
510400040340003121144
6115022305241221012
74442601526650650
oct502023532616000
986318175325168
1022130312551424
11706245a554510
122595004a91768
13c46b583c36ac
145671818d6360
152859d8364cee
hex14209d6b1c00

22130312551424 has 352 divisors, whose sum is σ = 56249289893376. Its totient is φ = 8451467182080.

The previous prime is 22130312551409. The next prime is 22130312551433. The reversal of 22130312551424 is 42415521303122.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6239161619 + ... + 6239165165.

Almost surely, 222130312551424 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 22130312551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28124644946688).

22130312551424 is an abundant number, since it is smaller than the sum of its proper divisors (34118977341952).

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

22130312551424 is a wasteful number, since it uses less digits than its factorization.

22130312551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 22130312551424 its reverse (42415521303122), we get a palindrome (64545833854546).

The spelling of 22130312551424 in words is "twenty-two trillion, one hundred thirty billion, three hundred twelve million, five hundred fifty-one thousand, four hundred twenty-four".