Search a number
-
+
2233640 = 235192939
BaseRepresentation
bin1000100001010100101000
311012110222102
420201110220
51032434030
6115512532
724662033
oct10412450
94173872
102233640
111296192
128b8748
136028a6
1442201a
152e1c45
hex221528

2233640 has 32 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 846144.

The previous prime is 2233631. The next prime is 2233657. The reversal of 2233640 is 463322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710 + ... + 2229.

It is an arithmetic number, because the mean of its divisors is an integer number (165375).

22233640 is an apocalyptic number.

2233640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2233640 is an abundant number, since it is smaller than the sum of its proper divisors (3058360).

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

2233640 is a wasteful number, since it uses less digits than its factorization.

2233640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2233640 is about 1494.5367175148. The cubic root of 2233640 is about 130.7187017984.

Adding to 2233640 its reverse (463322), we get a palindrome (2696962).

The spelling of 2233640 in words is "two million, two hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2939 5878 11756 14695 23512 29390 55841 58780 111682 117560 223364 279205 446728 558410 1116820 2233640