Search a number
-
+
2231400 = 233523719
BaseRepresentation
bin1000100000110001101000
311012100220110
420200301220
51032401100
6115454320
724652353
oct10406150
94170813
102231400
111294536
128b73a0
13601872
1442129a
152e1250
hex220c68

2231400 has 48 divisors (see below), whose sum is σ = 6919200. Its totient is φ = 594880.

The previous prime is 2231389. The next prime is 2231407. The reversal of 2231400 is 41322.

It is a super-3 number, since 3×22314003 = 33331398885432000000, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2231407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1260 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (144150).

22231400 is an apocalyptic number.

2231400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231400 is an abundant number, since it is smaller than the sum of its proper divisors (4687800).

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

2231400 is a wasteful number, since it uses less digits than its factorization.

2231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2231400 is about 1493.7871334297. The cubic root of 2231400 is about 130.6749902144.

Adding to 2231400 its reverse (41322), we get a palindrome (2272722).

The spelling of 2231400 in words is "two million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3719 7438 11157 14876 18595 22314 29752 37190 44628 55785 74380 89256 92975 111570 148760 185950 223140 278925 371900 446280 557850 743800 1115700 2231400