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2241233000 = 23535937987
BaseRepresentation
bin1000010110010110…
…1000000001101000
312210012021102200122
42011211220001220
514042223424000
61010221222412
7106353110666
oct20545500150
95705242618
102241233000
11a50132586
12526701a08
1329943a496
14173931c36
15d1b64085
hex85968068

2241233000 has 64 divisors (see below), whose sum is σ = 5333515200. Its totient is φ = 881275200.

The previous prime is 2241232993. The next prime is 2241233011. The reversal of 2241233000 is 3321422.

It is a self number, because there is not a number n which added to its sum of digits gives 2241233000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40007 + ... + 77993.

It is an arithmetic number, because the mean of its divisors is an integer number (83336175).

Almost surely, 22241233000 is an apocalyptic number.

2241233000 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 2241233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666757600).

2241233000 is an abundant number, since it is smaller than the sum of its proper divisors (3092282200).

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

2241233000 is a wasteful number, since it uses less digits than its factorization.

2241233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38067 (or 38053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2241233000 is about 47341.6624127206. The cubic root of 2241233000 is about 1308.6665529422. Note that the first 3 decimals are identical.

Adding to 2241233000 its reverse (3321422), we get a palindrome (2244554422).

The spelling of 2241233000 in words is "two billion, two hundred forty-one million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 29500 37987 59000 75974 151948 189935 303896 379870 759740 949675 1519480 1899350 2241233 3798700 4482466 4748375 7597400 8964932 9496750 11206165 17929864 18993500 22412330 37987000 44824660 56030825 89649320 112061650 224123300 280154125 448246600 560308250 1120616500 2241233000