Search a number
-
+
331122450540 = 223573773291887
BaseRepresentation
bin1001101000110000110…
…11111010000001101100
31011122200111022022210110
410310120123322001230
520411114321404130
6412040543140020
732631344250630
oct4643033720154
91148614268713
10331122450540
11118478a9a002
12542102a4610
13252bc90530b
1412052690dc0
15892eb05ab0
hex4d186fa06c

331122450540 has 192 divisors, whose sum is σ = 1103140491264. Its totient is φ = 72630577152.

The previous prime is 331122450521. The next prime is 331122450541. The reversal of 331122450540 is 45054221133.

It is a super-2 number, since 2×3311224505402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 331122450498 and 331122450507.

It is not an unprimeable number, because it can be changed into a prime (331122450541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 988477 + ... + 1280363.

It is an arithmetic number, because the mean of its divisors is an integer number (5745523392).

Almost surely, 2331122450540 is an apocalyptic number.

331122450540 is a gapful number since it is divisible by the number (30) 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 331122450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551570245632).

331122450540 is an abundant number, since it is smaller than the sum of its proper divisors (772018040724).

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

331122450540 is a wasteful number, since it uses less digits than its factorization.

331122450540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292016 (or 292014 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 331122450540 its reverse (45054221133), we get a palindrome (376176671673).

The spelling of 331122450540 in words is "three hundred thirty-one billion, one hundred twenty-two million, four hundred fifty thousand, five hundred forty".