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2232324 = 2232591051
BaseRepresentation
bin1000100001000000000100
311012102011200
420201000010
51032413244
6115502500
724655143
oct10410004
94172150
102232324
1112951a6
128b7a30
13602103
1442175a
152e1669
hex221004

2232324 has 36 divisors (see below), whose sum is σ = 5743920. Its totient is φ = 730800.

The previous prime is 2232323. The next prime is 2232337. The reversal of 2232324 is 4232322.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×22323243 = 33372822611643924672, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 213 + 215 + 312 + 215 + 313 + 215 + 43 .

It is a junction number, because it is equal to n+sod(n) for n = 2232297 and 2232306.

It is not an unprimeable number, because it can be changed into a prime (2232323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599 + ... + 2649.

22232324 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 2232324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871960).

2232324 is an abundant number, since it is smaller than the sum of its proper divisors (3511596).

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

2232324 is a wasteful number, since it uses less digits than its factorization.

2232324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1115 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 2232324 is about 1494.0963824332. The cubic root of 2232324 is about 130.6930247859.

Adding to 2232324 its reverse (4232322), we get a palindrome (6464646).

It can be divided in two parts, 2232 and 324, that added together give a triangular number (2556 = T71).

The spelling of 2232324 in words is "two million, two hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1051 1062 2102 2124 3153 4204 6306 9459 12612 18918 37836 62009 124018 186027 248036 372054 558081 744108 1116162 2232324