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2033324032 = 2121729201
BaseRepresentation
bin111100100110010…
…0001000000000000
312020201001120012111
41321030201000000
513131012332112
6533433105104
7101246653255
oct17114410000
95221046174
102033324032
11953838493
12488b58194
1326534431c
1415409142c
15bd7965a7
hex79321000

2033324032 has 52 divisors (see below), whose sum is σ = 4305484476. Its totient is φ = 956825600.

The previous prime is 2033324023. The next prime is 2033324053. The reversal of 2033324032 is 2304233302.

It can be written as a sum of positive squares in 2 ways, for example, as 1124663296 + 908660736 = 33536^2 + 30144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2033323994 and 2033324012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55032 + ... + 84232.

Almost surely, 22033324032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152742238).

2033324032 is an abundant number, since it is smaller than the sum of its proper divisors (2272160444).

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

2033324032 is an equidigital number, since it uses as much as digits as its factorization.

2033324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29242 (or 29220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 2033324032 is about 45092.3943919593. The cubic root of 2033324032 is about 1266.8801491826.

Adding to 2033324032 its reverse (2304233302), we get a palindrome (4337557334).

The spelling of 2033324032 in words is "two billion, thirty-three million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 29201 34816 58402 69632 116804 233608 467216 496417 934432 992834 1868864 1985668 3737728 3971336 7475456 7942672 14950912 15885344 29901824 31770688 59803648 63541376 119607296 127082752 254165504 508331008 1016662016 2033324032