Search a number
-
+
23220000303120 = 24325371077180923
BaseRepresentation
bin1010100011110010100111…
…10111101010100000010000
310001012210212202010010122200
411101321103313222200100
511020414030034144440
6121215042035403200
74614406153011435
oct521712367524020
9101183782103580
1023220000303120
117442601910745
122730237153500
13cc58378b569a
145a3bd5599b8c
152a4013829c30
hex151e53dea810

23220000303120 has 240 divisors, whose sum is σ = 80096507429952. Its totient is φ = 6024014945280.

The previous prime is 23220000303119. The next prime is 23220000303121. The reversal of 23220000303120 is 2130300002232.

It is a happy number.

23220000303120 is a `hidden beast` number, since 2 + 322 + 0 + 0 + 0 + 0 + 30 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23220000303119) and next prime (23220000303121).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23220000303093 and 23220000303102.

It is not an unprimeable number, because it can be changed into a prime (23220000303121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286898979 + ... + 286979901.

Almost surely, 223220000303120 is an apocalyptic number.

23220000303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220000303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40048253714976).

23220000303120 is an abundant number, since it is smaller than the sum of its proper divisors (56876507126832).

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

23220000303120 is a wasteful number, since it uses less digits than its factorization.

23220000303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91750 (or 91741 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23220000303120 its reverse (2130300002232), we get a palindrome (25350300305352).

The spelling of 23220000303120 in words is "twenty-three trillion, two hundred twenty billion, three hundred three thousand, one hundred twenty".