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2223132032 = 2711313049
BaseRepresentation
bin1000010010000010…
…0100110110000000
312201221012210211102
42010200210312000
514023110211112
61004333233532
7106043211332
oct20440446600
95657183742
102223132032
11a4099a000
125206328a8
13295770554
1417137d452
15d028abc2
hex84824d80

2223132032 has 64 divisors (see below), whose sum is σ = 4871826000. Its totient is φ = 1010437120.

The previous prime is 2223132029. The next prime is 2223132059. The reversal of 2223132032 is 2302313222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2223131995 and 2223132013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163844 + ... + 176892.

Almost surely, 22223132032 is an apocalyptic number.

2223132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435913000).

2223132032 is an abundant number, since it is smaller than the sum of its proper divisors (2648693968).

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

2223132032 is an equidigital number, since it uses as much as digits as its factorization.

2223132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13062 counting only the distinct ones).

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

The square root of 2223132032 is about 47150.1010815459. The cubic root of 2223132032 is about 1305.1339453340.

Adding to 2223132032 its reverse (2302313222), we get a palindrome (4525445254).

The spelling of 2223132032 in words is "two billion, two hundred twenty-three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1331 1408 1936 2662 3872 5324 7744 10648 13049 15488 21296 26098 42592 52196 85184 104392 143539 170368 208784 287078 417568 574156 835136 1148312 1578929 1670272 2296624 3157858 4593248 6315716 9186496 12631432 17368219 18372992 25262864 34736438 50525728 69472876 101051456 138945752 202102912 277891504 555783008 1111566016 2223132032