Search a number
-
+
14224221023310 = 23251319091198151
BaseRepresentation
bin1100111011111101010110…
…1001000010110001001110
31212100211012102100002221100
43032333111221002301032
53331022201040221220
650130303353443530
72665444312532634
oct316772551026116
955324172302840
1014224221023310
114594504a41121
1217188baa105a6
137c24522a787c
14372655281354
1519a010971d90
hexcefd5a42c4e

14224221023310 has 48 divisors (see below), whose sum is σ = 36983285894880. Its totient is φ = 3793093684800.

The previous prime is 14224221023297. The next prime is 14224221023317. The reversal of 14224221023310 is 1332012242241.

14224221023310 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 422 + 1 + 0 + 233 + 1 + 0 = 666.

It is a super-2 number, since 2×142242210233102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224221023317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11272735 + ... + 12470885.

It is an arithmetic number, because the mean of its divisors is an integer number (770485122810).

Almost surely, 214224221023310 is an apocalyptic number.

14224221023310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14224221023310 is an abundant number, since it is smaller than the sum of its proper divisors (22759064871570).

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

14224221023310 is a wasteful number, since it uses less digits than its factorization.

14224221023310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330073 (or 1330070 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14224221023310 its reverse (1332012242241), we get a palindrome (15556233265551).

The spelling of 14224221023310 in words is "fourteen trillion, two hundred twenty-four billion, two hundred twenty-one million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131909 263818 395727 659545 791454 1187181 1198151 1319090 1978635 2374362 2396302 3594453 3957270 5935905 5990755 7188906 10783359 11871810 11981510 17972265 21566718 35944530 53916795 107833590 158046900259 316093800518 474140700777 790234501295 948281401554 1422422102331 1580469002590 2370703503885 2844844204662 4741407007770 7112110511655 14224221023310