Search a number
-
+
2200432 = 241371149
BaseRepresentation
bin1000011001001101110000
311010210102111
420121031300
51030403212
6115055104
724463153
oct10311560
94123374
102200432
111273243
128a1494
135c0740
14413c9a
152d6ea7
hex219370

2200432 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 994560.

The previous prime is 2200423. The next prime is 2200441. The reversal of 2200432 is 2340022.

It is an interprime number because it is at equal distance from previous prime (2200423) and next prime (2200441).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14694 + ... + 14842.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22200432 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 2200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2200432 is an abundant number, since it is smaller than the sum of its proper divisors (2486768).

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

2200432 is a wasteful number, since it uses less digits than its factorization.

2200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2200432 is about 1483.3853174412. The cubic root of 2200432 is about 130.0676570902.

Adding to 2200432 its reverse (2340022), we get a palindrome (4540454).

The spelling of 2200432 in words is "two million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 149 208 284 298 568 596 923 1136 1192 1846 1937 2384 3692 3874 7384 7748 10579 14768 15496 21158 30992 42316 84632 137527 169264 275054 550108 1100216 2200432