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2330332000 = 25533118793
BaseRepresentation
bin1000101011100110…
…0000101101100000
320000101221010112121
42022321200231200
514233031111000
61023123034024
7111514331563
oct21271405540
96011833477
102330332000
11a96458a17
1255050b914
132b1a35299
141816c64da
15d98b3b1a
hex8ae60b60

2330332000 has 96 divisors (see below), whose sum is σ = 5910637824. Its totient is φ = 902016000.

The previous prime is 2330331973. The next prime is 2330332021. The reversal of 2330332000 is 2330332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 114604 + ... + 133396.

It is an arithmetic number, because the mean of its divisors is an integer number (61569144).

Almost surely, 22330332000 is an apocalyptic number.

2330332000 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 2330332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955318912).

2330332000 is an abundant number, since it is smaller than the sum of its proper divisors (3580305824).

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

2330332000 is a wasteful number, since it uses less digits than its factorization.

2330332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18849 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 2330332000 is about 48273.5124058733. The cubic root of 2330332000 is about 1325.7834692429.

Adding to 2330332000 its reverse (2330332), we get a palindrome (2332662332).

2330332000 divided by its reverse (2330332) gives a cube (1000 = 103).

The spelling of 2330332000 in words is "two billion, three hundred thirty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 18793 24800 31000 37586 62000 75172 93965 124000 150344 187930 300688 375860 469825 582583 601376 751720 939650 1165166 1503440 1879300 2330332 2349125 2912915 3006880 3758600 4660664 4698250 5825830 7517200 9321328 9396500 11651660 14564575 15034400 18642656 18793000 23303320 29129150 37586000 46606640 58258300 72822875 75172000 93213280 116516600 145645750 233033200 291291500 466066400 582583000 1165166000 2330332000