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2230743383232 = 26373138331393
BaseRepresentation
bin100000011101100010101…
…010101011110011000000
321220020221100020012220220
4200131202222223303000
5243022030301230412
64424442300303040
7320110620621000
oct40354252536300
97806840205826
102230743383232
11790064536921
123003bb541a80
13132486c67470
1479d7ba08000
153d06046c68c
hex20762aabcc0

2230743383232 has 448 divisors, whose sum is σ = 7502010700800. Its totient is φ = 581221122048.

The previous prime is 2230743383207. The next prime is 2230743383249. The reversal of 2230743383232 is 2323833470322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×22307433832323 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71042928 + ... + 71074320.

It is an arithmetic number, because the mean of its divisors is an integer number (16745559600).

Almost surely, 22230743383232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230743383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751005350400).

2230743383232 is an abundant number, since it is smaller than the sum of its proper divisors (5271267317568).

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

2230743383232 is a wasteful number, since it uses less digits than its factorization.

2230743383232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31525 (or 31501 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 2230743383232 in words is "two trillion, two hundred thirty billion, seven hundred forty-three million, three hundred eighty-three thousand, two hundred thirty-two".