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2233140000 = 25354713409
BaseRepresentation
bin1000010100011011…
…0000001100100000
312202122001021011220
42011012300030200
514033140440000
61005331535040
7106224243150
oct20506601440
95678037156
102233140000
11a46605153
12523a5a480
13297865920
14172826760
15d10b61a0
hex851b0320

2233140000 has 480 divisors, whose sum is σ = 9037607040. Its totient is φ = 470016000.

The previous prime is 2233139971. The next prime is 2233140047. The reversal of 2233140000 is 413322.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5459796 + ... + 5460204.

It is an arithmetic number, because the mean of its divisors is an integer number (18828348).

Almost surely, 22233140000 is an apocalyptic number.

2233140000 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 2233140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518803520).

2233140000 is an abundant number, since it is smaller than the sum of its proper divisors (6804467040).

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

2233140000 is a wasteful number, since it uses less digits than its factorization.

2233140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2233140000 is about 47256.1107159698. The cubic root of 2233140000 is about 1307.0894728286.

Adding to 2233140000 its reverse (413322), we get a palindrome (2233553322).

The spelling of 2233140000 in words is "two billion, two hundred thirty-three million, one hundred forty thousand".