Search a number
-
+
2200440 = 2335111667
BaseRepresentation
bin1000011001001101111000
311010210102210
420121031320
51030403230
6115055120
724463164
oct10311570
94123383
102200440
111273250
128a14a0
135c0748
14413ca4
152d6eb0
hex219378

2200440 has 64 divisors (see below), whose sum is σ = 7205760. Its totient is φ = 533120.

The previous prime is 2200423. The next prime is 2200441. The reversal of 2200440 is 440022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (112590).

22200440 is an apocalyptic number.

2200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602880).

2200440 is an abundant number, since it is smaller than the sum of its proper divisors (5005320).

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

2200440 is a wasteful number, since it uses less digits than its factorization.

2200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2200440 is about 1483.3880139734. The cubic root of 2200440 is about 130.0678147168.

Adding to 2200440 its reverse (440022), we get a palindrome (2640462).

The spelling of 2200440 in words is "two million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1667 3334 5001 6668 8335 10002 13336 16670 18337 20004 25005 33340 36674 40008 50010 55011 66680 73348 91685 100020 110022 146696 183370 200040 220044 275055 366740 440088 550110 733480 1100220 2200440