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2123232032 = 25113601977
BaseRepresentation
bin111111010001101…
…1111001100100000
312110222020100210102
41332203133030200
513322021411112
6550404121532
7103421113565
oct17643371440
95428210712
102123232032
1199a566719
124b30962a8
1327ab6341c
14161db686c
15c6605bc2
hex7e8df320

2123232032 has 48 divisors (see below), whose sum is σ = 4228445592. Its totient is φ = 1049395200.

The previous prime is 2123232031. The next prime is 2123232053. The reversal of 2123232032 is 2302323212.

It can be written as a sum of positive squares in 4 ways, for example, as 1975269136 + 147962896 = 44444^2 + 12164^2 .

It is a super-2 number, since 2×21232320322 = 9016228523421698048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2123231995 and 2123232013.

It is not an unprimeable number, because it can be changed into a prime (2123232031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2172728 + ... + 2173704.

Almost surely, 22123232032 is an apocalyptic number.

It is an amenable number.

2123232032 is a deficient number, since it is larger than the sum of its proper divisors (2105213560).

2123232032 is a wasteful number, since it uses less digits than its factorization.

2123232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2123232032 is about 46078.5419908226. The cubic root of 2123232032 is about 1285.2841518097.

Adding to 2123232032 its reverse (2302323212), we get a palindrome (4425555244).

The spelling of 2123232032 in words is "two billion, one hundred twenty-three million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 113 226 452 601 904 977 1202 1808 1954 2404 3616 3908 4808 7816 9616 15632 19232 31264 67913 110401 135826 220802 271652 441604 543304 587177 883208 1086608 1174354 1766416 2173216 2348708 3532832 4697416 9394832 18789664 66351001 132702002 265404004 530808008 1061616016 2123232032