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2232054000 = 2432531111273
BaseRepresentation
bin1000010100001010…
…0111000011110000
312202120000002110200
42011002213003300
514032401212000
61005252355200
7106212101031
oct20502470360
95676002420
102232054000
11a45a33230
12523615b00
13297575517
14172622a88
15d0e4e500
hex850a70f0

2232054000 has 240 divisors, whose sum is σ = 8505285984. Its totient is φ = 541056000.

The previous prime is 2232053987. The next prime is 2232054001. The reversal of 2232054000 is 4502322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×22320540003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232054001) 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, 192364 + ... + 203636.

Almost surely, 22232054000 is an apocalyptic number.

2232054000 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 2232054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252642992).

2232054000 is an abundant number, since it is smaller than the sum of its proper divisors (6273231984).

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

2232054000 is a wasteful number, since it uses less digits than its factorization.

2232054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2232054000 is about 47244.6187411858. The cubic root of 2232054000 is about 1306.8775545826.

Adding to 2232054000 its reverse (4502322), we get a palindrome (2236556322).

The spelling of 2232054000 in words is "two billion, two hundred thirty-two million, fifty-four thousand".