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323142322230 = 2325721317931489
BaseRepresentation
bin1001011001111001100…
…10001000100000110110
31010220002100021210201200
410230330302020200312
520243243413302410
6404241033233330
732226524263500
oct4547462104066
91126070253650
10323142322230
11115053464542
1252763862846
132461a52c0c0
14118d68bad70
1586142333c0
hex4b3cc88836

323142322230 has 288 divisors, whose sum is σ = 1058434322400. Its totient is φ = 67796434944.

The previous prime is 323142322219. The next prime is 323142322277. The reversal of 323142322230 is 32223241323.

323142322230 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 423 + 2 + 2 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 323142322194 and 323142322203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10246326 + ... + 10277814.

It is an arithmetic number, because the mean of its divisors is an integer number (3675119175).

Almost surely, 2323142322230 is an apocalyptic number.

323142322230 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 323142322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529217161200).

323142322230 is an abundant number, since it is smaller than the sum of its proper divisors (735292000170).

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

323142322230 is a wasteful number, since it uses less digits than its factorization.

323142322230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31708 (or 31698 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 323142322230 its reverse (32223241323), we get a palindrome (355365563553).

The spelling of 323142322230 in words is "three hundred twenty-three billion, one hundred forty-two million, three hundred twenty-two thousand, two hundred thirty".