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2330120000 = 2654134481
BaseRepresentation
bin1000101011100010…
…1100111101000000
320000101112100201202
42022320230331000
514233002320000
61023114320332
7111512456525
oct21270547500
96011470652
102330120000
11a9632370a
125504290a8
132b198c940
1418166d14c
15d9870dd5
hex8ae2cf40

2330120000 has 140 divisors (see below), whose sum is σ = 6223785876. Its totient is φ = 860160000.

The previous prime is 2330119993. The next prime is 2330120021. The reversal of 2330120000 is 210332.

It can be written as a sum of positive squares in 10 ways, for example, as 1875236416 + 454883584 = 43304^2 + 21328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 517760 + ... + 522240.

Almost surely, 22330120000 is an apocalyptic number.

2330120000 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 2330120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111892938).

2330120000 is an abundant number, since it is smaller than the sum of its proper divisors (3893665876).

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

2330120000 is an equidigital number, since it uses as much as digits as its factorization.

2330120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4501 counting only the distinct ones).

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

The square root of 2330120000 is about 48271.3165347704. The cubic root of 2330120000 is about 1325.7432640104.

Adding to 2330120000 its reverse (210332), we get a palindrome (2330330332).

The spelling of 2330120000 in words is "two billion, three hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 4481 5000 5200 6500 8000 8125 8962 10000 10400 13000 16250 17924 20000 20800 22405 26000 32500 35848 40000 44810 52000 58253 65000 71696 89620 104000 112025 116506 130000 143392 179240 224050 233012 260000 286784 291265 358480 448100 466024 520000 560125 582530 716960 896200 932048 1120250 1165060 1433920 1456325 1792400 1864096 2240500 2330120 2800625 2912650 3584800 3728192 4481000 4660240 5601250 5825300 7169600 7281625 8962000 9320480 11202500 11650600 14563250 17924000 18640960 22405000 23301200 29126500 35848000 36408125 44810000 46602400 58253000 72816250 89620000 93204800 116506000 145632500 179240000 233012000 291265000 466024000 582530000 1165060000 2330120000