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2330350400000 = 29557208067
BaseRepresentation
bin100001111010010011101…
…101010011001000000000
322020210001010101221112002
4201322103231103020000
5301140024200300000
64542314224323132
7330235153400540
oct41722355231000
98223033357462
102330350400000
11819329059897
123177797734a8
1313b99c22133c
1480b0a7ad320
154093ee2c8d5
hex21e93b53200

2330350400000 has 240 divisors, whose sum is σ = 6651248167872. Its totient is φ = 798973440000.

The previous prime is 2330350399973. The next prime is 2330350400087. The reversal of 2330350400000 is 40530332.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 11095967 + ... + 11304033.

Almost surely, 22330350400000 is an apocalyptic number.

2330350400000 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 2330350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325624083936).

2330350400000 is an abundant number, since it is smaller than the sum of its proper divisors (4320897767872).

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

2330350400000 is an frugal number, since it uses more digits than its factorization.

2330350400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208117 (or 208081 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 2330350400000 its reverse (40530332), we get a palindrome (2330390930332).

The spelling of 2330350400000 in words is "two trillion, three hundred thirty billion, three hundred fifty million, four hundred thousand".