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2023231232 = 28114311667
BaseRepresentation
bin111100010011000…
…0000111100000000
312020000001210111002
41320212000330000
513120421344412
6532432511132
7101065116221
oct17046007400
95200053432
102023231232
11949074630
124856ab4a8
1326321c459
141529c5248
15bc950dc2
hex78980f00

2023231232 has 72 divisors (see below), whose sum is σ = 4418572032. Its totient is φ = 916966400.

The previous prime is 2023231229. The next prime is 2023231279. The reversal of 2023231232 is 2321323202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1212863 + ... + 1214529.

It is an arithmetic number, because the mean of its divisors is an integer number (61369056).

Almost surely, 22023231232 is an apocalyptic number.

2023231232 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 2023231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209286016).

2023231232 is an abundant number, since it is smaller than the sum of its proper divisors (2395340800).

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

2023231232 is a wasteful number, since it uses less digits than its factorization.

2023231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2111 counting only the distinct ones).

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

The square root of 2023231232 is about 44980.3427287965. The cubic root of 2023231232 is about 1264.7805359093.

Adding to 2023231232 its reverse (2321323202), we get a palindrome (4344554434).

The spelling of 2023231232 in words is "two billion, twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 431 704 862 1408 1667 1724 2816 3334 3448 4741 6668 6896 9482 13336 13792 18337 18964 26672 27584 36674 37928 53344 55168 73348 75856 106688 110336 146696 151712 213376 293392 303424 426752 586784 606848 718477 1173568 1213696 1436954 2347136 2873908 4694272 5747816 7903247 11495632 15806494 22991264 31612988 45982528 63225976 91965056 126451952 183930112 252903904 505807808 1011615616 2023231232