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2232104 = 237231733
BaseRepresentation
bin1000100000111100101000
311012101212112
420200330220
51032411404
6115501452
724654410
oct10407450
94171775
102232104
111295016
128b7888
13601c94
14421640
152e156e
hex220f28

2232104 has 32 divisors (see below), whose sum is σ = 4993920. Its totient is φ = 914496.

The previous prime is 2232071. The next prime is 2232107. The reversal of 2232104 is 4012322.

It is a super-3 number, since 3×22321043 = 33362956708539182592, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2232107) 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, 422 + ... + 2154.

It is an arithmetic number, because the mean of its divisors is an integer number (156060).

22232104 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 2232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496960).

2232104 is an abundant number, since it is smaller than the sum of its proper divisors (2761816).

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

2232104 is a wasteful number, since it uses less digits than its factorization.

2232104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2232104 is about 1494.0227575241. The cubic root of 2232104 is about 130.6887312917.

Adding to 2232104 its reverse (4012322), we get a palindrome (6244426).

The spelling of 2232104 in words is "two million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 1733 3466 6932 12131 13864 24262 39859 48524 79718 97048 159436 279013 318872 558026 1116052 2232104