Search a number
-
+
332000003022030 = 23257836439874349
BaseRepresentation
bin100101101111100111100011…
…0001111101101110011001110
31121112111220001001011201202100
41023133033012033231303032
5322003442001233201110
63134034410145135530
7126634131400312050
oct11337170617556316
91545456031151670
10332000003022030
1196870457535902
123129b9a932a5a6
13113336098c5ac5
145bdac58c1b8d0
15285b136a10bc0
hex12df3c63edcce

332000003022030 has 192 divisors, whose sum is σ = 999952831987200. Its totient is φ = 74854825360128.

The previous prime is 332000003021969. The next prime is 332000003022049. The reversal of 332000003022030 is 30220300000233.

332000003022030 is a `hidden beast` number, since 332 + 0 + 0 + 0 + 0 + 0 + 302 + 2 + 0 + 30 = 666.

It is a super-2 number, since 2×3320000030220302 (a number of 30 digits) contains 22 as substring.

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 = 332000003021994 and 332000003022012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28685296 + ... + 38559644.

It is an arithmetic number, because the mean of its divisors is an integer number (5208087666600).

Almost surely, 2332000003022030 is an apocalyptic number.

332000003022030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332000003022030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499976415993600).

332000003022030 is an abundant number, since it is smaller than the sum of its proper divisors (667952828965170).

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

332000003022030 is a wasteful number, since it uses less digits than its factorization.

332000003022030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875095 (or 9875092 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 332000003022030 its reverse (30220300000233), we get a palindrome (362220303022263).

The spelling of 332000003022030 in words is "three hundred thirty-two trillion, three million, twenty-two thousand, thirty".