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1132220032 = 2719465551
BaseRepresentation
bin100001101111100…
…0100111010000000
32220220110201220021
41003133010322000
54304322020112
6304203223224
740025466016
oct10337047200
92826421807
101132220032
11531121739
12277217b14
131507522a8
14aa5288b6
15695ec907
hex437c4e80

1132220032 has 32 divisors (see below), whose sum is σ = 2374315200. Its totient is φ = 536313600.

The previous prime is 1132219967. The next prime is 1132220039. The reversal of 1132220032 is 2300222311.

It is a tau number, because it is divible by the number of its divisors (32).

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 = 1132219988 and 1132220015.

It is not an unprimeable number, because it can be changed into a prime (1132220039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230344 + ... + 235207.

It is an arithmetic number, because the mean of its divisors is an integer number (74197350).

Almost surely, 21132220032 is an apocalyptic number.

It is an amenable number.

1132220032 is an abundant number, since it is smaller than the sum of its proper divisors (1242095168).

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

1132220032 is an equidigital number, since it uses as much as digits as its factorization.

1132220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465584 (or 465572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1132220032 is about 33648.4774098324. The cubic root of 1132220032 is about 1042.2620978532.

Adding to 1132220032 its reverse (2300222311), we get a palindrome (3432442343).

The spelling of 1132220032 in words is "one billion, one hundred thirty-two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 465551 931102 1862204 3724408 7448816 8845469 14897632 17690938 29795264 35381876 59590528 70763752 141527504 283055008 566110016 1132220032