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2332057632 = 253197123311
BaseRepresentation
bin1000101100000000…
…0110000000100000
320000112011210122220
42023000012000200
514234001321012
61023224031040
7111535106562
oct21300060040
96015153586
102332057632
11a97427463
12551002480
132b21ba878
14181a15332
15d9b0508c
hex8b006020

2332057632 has 48 divisors (see below), whose sum is σ = 6152775552. Its totient is φ = 773400320.

The previous prime is 2332057597. The next prime is 2332057661. The reversal of 2332057632 is 2367502332.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2332057593 and 2332057602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42744 + ... + 80567.

It is an arithmetic number, because the mean of its divisors is an integer number (128182824).

Almost surely, 22332057632 is an apocalyptic number.

It is an amenable number.

2332057632 is an abundant number, since it is smaller than the sum of its proper divisors (3820717920).

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

2332057632 is a wasteful number, since it uses less digits than its factorization.

2332057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123521 (or 123513 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 2332057632 is about 48291.3825853019. The cubic root of 2332057632 is about 1326.1106400632.

Adding to 2332057632 its reverse (2367502332), we get a palindrome (4699559964).

The spelling of 2332057632 in words is "two billion, three hundred thirty-two million, fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 18912 123311 246622 369933 493244 739866 986488 1479732 1972976 2959464 3945952 5918928 11837856 24292267 48584534 72876801 97169068 145753602 194338136 291507204 388676272 583014408 777352544 1166028816 2332057632