Search a number
-
+
2322135412320 = 253519607419473
BaseRepresentation
bin100001110010101010000…
…011100110111001100000
322012222211121110022222010
4201302222003212321200
5301021213131143240
64534435124512520
7326524452221253
oct41625203467140
98188747408863
102322135412320
118158a29a1a79
1231606654b740
1313ac902a7099
148056b74109a
154060db17280
hex21caa0e6e60

2322135412320 has 192 divisors, whose sum is σ = 7712415406080. Its totient is φ = 585676873728.

The previous prime is 2322135412319. The next prime is 2322135412349. The reversal of 2322135412320 is 232145312232.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5326104 + ... + 5745576.

It is an arithmetic number, because the mean of its divisors is an integer number (40168830240).

Almost surely, 22322135412320 is an apocalyptic number.

2322135412320 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 2322135412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856207703040).

2322135412320 is an abundant number, since it is smaller than the sum of its proper divisors (5390279993760).

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

2322135412320 is a wasteful number, since it uses less digits than its factorization.

2322135412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420117 (or 420109 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 2322135412320 in words is "two trillion, three hundred twenty-two billion, one hundred thirty-five million, four hundred twelve thousand, three hundred twenty".