Search a number
-
+
332224430412330 = 23452347657757689
BaseRepresentation
bin100101110001010000000011…
…1001010010001001000101010
31121120022100022202220102020000
41023202200013022101020222
5322021131113141143310
63134325444003043430
7126656265043540311
oct11342400712211052
91546270282812200
10332224430412330
1196947653992975
12313173a1670576
131134b824922a81
145c07a691cd278
152861dbe74a4c0
hex12e280729122a

332224430412330 has 320 divisors, whose sum is σ = 952148664529920. Its totient is φ = 82924249706496.

The previous prime is 332224430412323. The next prime is 332224430412397. The reversal of 332224430412330 is 33214034422233.

332224430412330 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 2 + 4 + 4 + 304 + 12 + 330 = 666.

It is a super-2 number, since 2×3322244304123302 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5758858126 + ... + 5758915814.

It is an arithmetic number, because the mean of its divisors is an integer number (2975464576656).

Almost surely, 2332224430412330 is an apocalyptic number.

332224430412330 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 332224430412330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476074332264960).

332224430412330 is an abundant number, since it is smaller than the sum of its proper divisors (619924234117590).

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

332224430412330 is a wasteful number, since it uses less digits than its factorization.

332224430412330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64355 (or 64346 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 332224430412330 its reverse (33214034422233), we get a palindrome (365438464834563).

The spelling of 332224430412330 in words is "three hundred thirty-two trillion, two hundred twenty-four billion, four hundred thirty million, four hundred twelve thousand, three hundred thirty".