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2331020000 = 2554294019
BaseRepresentation
bin1000101011110000…
…1000101011100000
320000110020002022002
42022330020223200
514233220120000
61023145503132
7111523225451
oct21274105340
96013202262
102331020000
11a96888911
125507a1aa8
132b1c1649a
14181825128
15d999c8d5
hex8af08ae0

2331020000 has 120 divisors (see below), whose sum is σ = 5933881800. Its totient is φ = 900032000.

The previous prime is 2331019987. The next prime is 2331020009. The reversal of 2331020000 is 201332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331020009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 577991 + ... + 582009.

It is an arithmetic number, because the mean of its divisors is an integer number (49449015).

Almost surely, 22331020000 is an apocalyptic number.

2331020000 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 2331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966940900).

2331020000 is an abundant number, since it is smaller than the sum of its proper divisors (3602861800).

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

2331020000 is an equidigital number, since it uses as much as digits as its factorization.

2331020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2331020000 is about 48280.6379411043. The cubic root of 2331020000 is about 1325.9139298061.

Adding to 2331020000 its reverse (201332), we get a palindrome (2331221332).

The spelling of 2331020000 in words is "two billion, three hundred thirty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4019 4640 5000 5800 7250 8038 10000 11600 14500 16076 18125 20000 20095 23200 29000 32152 36250 40190 58000 64304 72500 80380 100475 116000 116551 128608 145000 160760 200950 233102 290000 321520 401900 466204 502375 580000 582755 643040 803800 932408 1004750 1165510 1607600 1864816 2009500 2331020 2511875 2913775 3215200 3729632 4019000 4662040 5023750 5827550 8038000 9324080 10047500 11655100 14568875 16076000 18648160 20095000 23310200 29137750 40190000 46620400 58275500 72844375 80380000 93240800 116551000 145688750 233102000 291377500 466204000 582755000 1165510000 2331020000