Search a number
-
+
2000232 = 2332132137
BaseRepresentation
bin111101000010101101000
310202121210200
413220111220
51003001412
6110512200
723000403
oct7502550
93677720
102000232
111146893
12805660
13550590
143a0d3a
152979dc
hex1e8568

2000232 has 48 divisors (see below), whose sum is σ = 5836740. Its totient is φ = 615168.

The previous prime is 2000227. The next prime is 2000249. The reversal of 2000232 is 2320002.

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 427716 = 1254^2 + 654^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 2004.

22000232 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 2000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918370).

2000232 is an abundant number, since it is smaller than the sum of its proper divisors (3836508).

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

2000232 is a wasteful number, since it uses less digits than its factorization.

2000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2000232 is about 1414.2955843811. The cubic root of 2000232 is about 125.9969764959.

Adding to 2000232 its reverse (2320002), we get a palindrome (4320234).

The spelling of 2000232 in words is "two million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2137 4274 6411 8548 12822 17096 19233 25644 27781 38466 51288 55562 76932 83343 111124 153864 166686 222248 250029 333372 500058 666744 1000116 2000232