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2023033120 = 25513739209
BaseRepresentation
bin111100010010101…
…0000100100100000
312012222200201201121
41320211100210200
513120344024440
6532424342024
7101063332513
oct17045204440
95188621647
102023033120
11948a497a9
12485614914
13263180224
14152972d7a
15bc91234a
hex78950920

2023033120 has 48 divisors (see below), whose sum is σ = 4783416120. Its totient is φ = 808536064.

The previous prime is 2023033093. The next prime is 2023033121. The reversal of 2023033120 is 213303202.

It can be written as a sum of positive squares in 4 ways, for example, as 1826023824 + 197009296 = 42732^2 + 14036^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2023033094 and 2023033103.

It is not an unprimeable number, because it can be changed into a prime (2023033121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 215076 + ... + 224284.

Almost surely, 22023033120 is an apocalyptic number.

2023033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023033120 is an abundant number, since it is smaller than the sum of its proper divisors (2760383000).

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

2023033120 is a wasteful number, since it uses less digits than its factorization.

2023033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10589 counting only the distinct ones).

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

The square root of 2023033120 is about 44978.1404684542. The cubic root of 2023033120 is about 1264.7392527090.

Adding to 2023033120 its reverse (213303202), we get a palindrome (2236336322).

The spelling of 2023033120 in words is "two billion, twenty-three million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1373 2746 5492 6865 9209 10984 13730 18418 21968 27460 36836 43936 46045 54920 73672 92090 109840 147344 184180 219680 294688 368360 736720 1473440 12643957 25287914 50575828 63219785 101151656 126439570 202303312 252879140 404606624 505758280 1011516560 2023033120