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2233632 = 25353439
BaseRepresentation
bin1000100001010100100000
311012110222010
420201110200
51032434012
6115512520
724662022
oct10412440
94173863
102233632
111296185
128b8740
1360289b
14422012
152e1c3c
hex221520

2233632 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 728832.

The previous prime is 2233631. The next prime is 2233657. The reversal of 2233632 is 2363322.

2233632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×22336322 = 9978223822848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2233599 and 2233608.

It is not an unprimeable number, because it can be changed into a prime (2233631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4869 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22233632 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 2233632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2233632 is an abundant number, since it is smaller than the sum of its proper divisors (3753888).

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

2233632 is a wasteful number, since it uses less digits than its factorization.

2233632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 2233632 is about 1494.5340410978. The cubic root of 2233632 is about 130.7185457376.

Adding to 2233632 its reverse (2363322), we get a palindrome (4596954).

The spelling of 2233632 in words is "two million, two hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 439 636 848 878 1272 1317 1696 1756 2544 2634 3512 5088 5268 7024 10536 14048 21072 23267 42144 46534 69801 93068 139602 186136 279204 372272 558408 744544 1116816 2233632