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2533135000 = 23541125379
BaseRepresentation
bin1001011011111100…
…1001001010011000
320112112112120221211
42112333021022120
520141440310000
61055205512504
7116526202144
oct22677111230
96475476854
102533135000
11108a985900
125a8412734
13314a61366
141a05d8224
15ec5c37ba
hex96fc9298

2533135000 has 240 divisors, whose sum is σ = 6730970400. Its totient is φ = 892320000.

The previous prime is 2533134943. The next prime is 2533135009. The reversal of 2533135000 is 5313352.

It is a happy number.

2533135000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533135009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32064961 + ... + 32065039.

It is an arithmetic number, because the mean of its divisors is an integer number (28045710).

Almost surely, 22533135000 is an apocalyptic number.

2533135000 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 2533135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365485200).

2533135000 is an abundant number, since it is smaller than the sum of its proper divisors (4197835400).

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

2533135000 is a wasteful number, since it uses less digits than its factorization.

2533135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 2533135000 is about 50330.2592880267. The cubic root of 2533135000 is about 1363.1786591833.

Adding to 2533135000 its reverse (5313352), we get a palindrome (2538448352).

The spelling of 2533135000 in words is "two billion, five hundred thirty-three million, one hundred thirty-five thousand".