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2033240000 = 2654114621
BaseRepresentation
bin111100100110000…
…1100011111000000
312020200220021221012
41321030030133000
513131002140000
6533431220052
7101246153261
oct17114143700
95220807835
102033240000
11953790340
12488b17628
13265314cbc
1415406c968
15bd77b735
hex7930c7c0

2033240000 has 140 divisors (see below), whose sum is σ = 5501307768. Its totient is φ = 739200000.

The previous prime is 2033239991. The next prime is 2033240009. The reversal of 2033240000 is 423302.

It is an interprime number because it is at equal distance from previous prime (2033239991) and next prime (2033240009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 437690 + ... + 442310.

Almost surely, 22033240000 is an apocalyptic number.

2033240000 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 2033240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750653884).

2033240000 is an abundant number, since it is smaller than the sum of its proper divisors (3468067768).

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

2033240000 is an equidigital number, since it uses as much as digits as its factorization.

2033240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2033240000 is about 45091.4626065733. The cubic root of 2033240000 is about 1266.8626966537.

Adding to 2033240000 its reverse (423302), we get a palindrome (2033663302).

The spelling of 2033240000 in words is "two billion, thirty-three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 4621 5000 5500 6875 8000 8800 9242 10000 11000 13750 17600 18484 20000 22000 23105 27500 36968 40000 44000 46210 50831 55000 73936 88000 92420 101662 110000 115525 147872 184840 203324 220000 231050 254155 295744 369680 406648 440000 462100 508310 577625 739360 813296 924200 1016620 1155250 1270775 1478720 1626592 1848400 2033240 2310500 2541550 2888125 3253184 3696800 4066480 4621000 5083100 5776250 6353875 7393600 8132960 9242000 10166200 11552500 12707750 16265920 18484000 20332400 23105000 25415500 31769375 36968000 40664800 46210000 50831000 63538750 81329600 92420000 101662000 127077500 184840000 203324000 254155000 406648000 508310000 1016620000 2033240000