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2233052000 = 25531732839
BaseRepresentation
bin1000010100011001…
…1010101101100000
312202121212210110122
42011012122231200
514033130131000
61005330015412
7106223425454
oct20506325540
95677783418
102233052000
11a46555023
12523a17568
1329783485a
14172802664
15d109a085
hex8519ab60

2233052000 has 96 divisors (see below), whose sum is σ = 5809527360. Its totient is φ = 840652800.

The previous prime is 2233051987. The next prime is 2233052011. The reversal of 2233052000 is 2503322.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2233052000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51581 + ... + 84419.

It is an arithmetic number, because the mean of its divisors is an integer number (60515910).

Almost surely, 22233052000 is an apocalyptic number.

2233052000 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 2233052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904763680).

2233052000 is an abundant number, since it is smaller than the sum of its proper divisors (3576475360).

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

2233052000 is a wasteful number, since it uses less digits than its factorization.

2233052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32881 (or 32863 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 2233052000 is about 47255.1796102819. The cubic root of 2233052000 is about 1307.0723033745.

Adding to 2233052000 its reverse (2503322), we get a palindrome (2235555322).

The spelling of 2233052000 in words is "two billion, two hundred thirty-three million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 32839 34000 65678 68000 131356 164195 262712 328390 525424 558263 656780 820975 1050848 1116526 1313560 1641950 2233052 2627120 2791315 3283900 4104875 4466104 5254240 5582630 6567800 8209750 8932208 11165260 13135600 13956575 16419500 17864416 22330520 26271200 27913150 32839000 44661040 55826300 65678000 69782875 89322080 111652600 131356000 139565750 223305200 279131500 446610400 558263000 1116526000 2233052000