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2023232 = 26101313
BaseRepresentation
bin111101101111101000000
310210210100112
413231331000
51004220412
6111210452
723124431
oct7557500
93723315
102023232
1111620a2
12816a28
1355aba3
143a9488
1529e722
hex1edf40

2023232 has 28 divisors (see below), whose sum is σ = 4067556. Its totient is φ = 998400.

The previous prime is 2023223. The next prime is 2023261. The reversal of 2023232 is 2323202.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 1132096 = 944^2 + 1064^2 .

It is a congruent number.

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, 6308 + ... + 6620.

22023232 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 2023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033778).

2023232 is an abundant number, since it is smaller than the sum of its proper divisors (2044324).

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

2023232 is a wasteful number, since it uses less digits than its factorization.

2023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2023232 is about 1422.4035995455. The cubic root of 2023232 is about 126.4780695942.

Adding to 2023232 its reverse (2323202), we get a palindrome (4346434).

It can be divided in two parts, 202 and 3232, that multiplied together give a square (652864 = 8082).

The spelling of 2023232 in words is "two million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 313 404 626 808 1252 1616 2504 3232 5008 6464 10016 20032 31613 63226 126452 252904 505808 1011616 2023232