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2230001233000 = 235320891067497
BaseRepresentation
bin100000011100110110011…
…011100110110001101000
321220012000121202002012021
4200130312123212301220
5243014020303424000
64424240505354224
7320053336504462
oct40346633466150
97805017662167
102230001233000
1178a813618422
12300232a98974
1313239928a908
1479d0b21b132
153d01a22111a
hex207366e6c68

2230001233000 has 64 divisors (see below), whose sum is σ = 5220705718800. Its totient is φ = 891572659200.

The previous prime is 2230001232997. The next prime is 2230001233007. The reversal of 2230001233000 is 3321000322.

It can be written as a sum of positive squares in 8 ways, for example, as 430695563076 + 1799305669924 = 656274^2 + 1341382^2 .

It is not an unprimeable number, because it can be changed into a prime (2230001233007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555252 + ... + 2622748.

Almost surely, 22230001233000 is an apocalyptic number.

2230001233000 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 2230001233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610352859400).

2230001233000 is an abundant number, since it is smaller than the sum of its proper divisors (2990704485800).

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

2230001233000 is a wasteful number, since it uses less digits than its factorization.

2230001233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069607 (or 1069593 counting only the distinct ones).

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

Adding to 2230001233000 its reverse (3321000322), we get a palindrome (2233322233322).

The spelling of 2230001233000 in words is "two trillion, two hundred thirty billion, one million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2089 4178 8356 10445 16712 20890 41780 52225 83560 104450 208900 261125 417800 522250 1044500 1067497 2089000 2134994 4269988 5337485 8539976 10674970 21349940 26687425 42699880 53374850 106749700 133437125 213499400 266874250 533748500 1067497000 2230001233 4460002466 8920004932 11150006165 17840009864 22300012330 44600024660 55750030825 89200049320 111500061650 223000123300 278750154125 446000246600 557500308250 1115000616500 2230001233000