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2231233000 = 235317131249
BaseRepresentation
bin1000010011111101…
…1110100111101000
312202111110101021021
42010333132213220
514032143424000
61005223022224
7106202111323
oct20477364750
95674411237
102231233000
11a45522417
1252329a974
13297348919
1417248b7ba
15d0d3b11a
hex84fde9e8

2231233000 has 64 divisors (see below), whose sum is σ = 5528250000. Its totient is φ = 839987200.

The previous prime is 2231232989. The next prime is 2231233009. The reversal of 2231233000 is 3321322.

It can be written as a sum of positive squares in 8 ways, for example, as 205692964 + 2025540036 = 14342^2 + 45006^2 .

It is a super-3 number, since 3×22312330003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231233009) 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, 48625 + ... + 82624.

Almost surely, 22231233000 is an apocalyptic number.

2231233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231233000 is an abundant number, since it is smaller than the sum of its proper divisors (3297017000).

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

2231233000 is a wasteful number, since it uses less digits than its factorization.

2231233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131287 (or 131273 counting only the distinct ones).

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

The square root of 2231233000 is about 47235.9291218030. The cubic root of 2231233000 is about 1306.7173018811.

Adding to 2231233000 its reverse (3321322), we get a palindrome (2234554322).

The spelling of 2231233000 in words is "two billion, two hundred thirty-one million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 131249 262498 524996 656245 1049992 1312490 2231233 2624980 3281225 4462466 5249960 6562450 8924932 11156165 13124900 16406125 17849864 22312330 26249800 32812250 44624660 55780825 65624500 89249320 111561650 131249000 223123300 278904125 446246600 557808250 1115616500 2231233000