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2330013400 = 23521113257317
BaseRepresentation
bin1000101011100001…
…0010111011011000
320000101022221111121
42022320102323120
514232440412100
61023112135024
7111511533661
oct21270227330
96011287447
102330013400
11a96260610
12550397474
132b1953270
14181642368
15d984e51a
hex8ae12ed8

2330013400 has 192 divisors, whose sum is σ = 6409277280. Its totient is φ = 776601600.

The previous prime is 2330013383. The next prime is 2330013403. The reversal of 2330013400 is 43100332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330013403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7350042 + ... + 7350358.

Almost surely, 22330013400 is an apocalyptic number.

2330013400 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 2330013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204638640).

2330013400 is an abundant number, since it is smaller than the sum of its proper divisors (4079263880).

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

2330013400 is a wasteful number, since it uses less digits than its factorization.

2330013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2330013400 is about 48270.2123467465. The cubic root of 2330013400 is about 1325.7230466844.

Adding to 2330013400 its reverse (43100332), we get a palindrome (2373113732).

The spelling of 2330013400 in words is "two billion, three hundred thirty million, thirteen thousand, four hundred".