Search a number
-
+
2333221000 = 235311474513
BaseRepresentation
bin1000101100010010…
…0010000010001000
320000121100220111121
42023010202002020
514234301033000
61023305005024
7111551023405
oct21304420210
96017326447
102333221000
11a98051520
12551483774
132b2507256
14181c392ac
15d9c84b1a
hex8b122088

2333221000 has 128 divisors (see below), whose sum is σ = 6084149760. Its totient is φ = 830208000.

The previous prime is 2333220991. The next prime is 2333221001. The reversal of 2333221000 is 1223332.

It is not an unprimeable number, because it can be changed into a prime (2333221001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514744 + ... + 519256.

It is an arithmetic number, because the mean of its divisors is an integer number (47532420).

Almost surely, 22333221000 is an apocalyptic number.

2333221000 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 2333221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042074880).

2333221000 is an abundant number, since it is smaller than the sum of its proper divisors (3750928760).

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

2333221000 is a wasteful number, since it uses less digits than its factorization.

2333221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2333221000 is about 48303.4263795023. The cubic root of 2333221000 is about 1326.3311174925.

Adding to 2333221000 its reverse (1223332), we get a palindrome (2334444332).

The spelling of 2333221000 in words is "two billion, three hundred thirty-three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 940 1000 1034 1100 1175 1375 1880 2068 2200 2350 2585 2750 4136 4513 4700 5170 5500 5875 9026 9400 10340 11000 11750 12925 18052 20680 22565 23500 25850 36104 45130 47000 49643 51700 64625 90260 99286 103400 112825 129250 180520 198572 212111 225650 248215 258500 397144 424222 451300 496430 517000 564125 848444 902600 992860 1060555 1128250 1241075 1696888 1985720 2121110 2256500 2333221 2482150 4242220 4513000 4666442 4964300 5302775 6205375 8484440 9332884 9928600 10605550 11666105 12410750 18665768 21211100 23332210 24821500 26513875 42422200 46664420 49643000 53027750 58330525 93328840 106055500 116661050 212111000 233322100 291652625 466644200 583305250 1166610500 2333221000