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2230144 = 27719131
BaseRepresentation
bin1000100000011110000000
311012022011221
420200132000
51032331034
6115444424
724645610
oct10403600
94168157
102230144
1112935a4
128b6714
13601117
14420a40
152e0bb4
hex220780

2230144 has 64 divisors (see below), whose sum is σ = 5385600. Its totient is φ = 898560.

The previous prime is 2230139. The next prime is 2230147. The reversal of 2230144 is 4410322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16959 + ... + 17089.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

22230144 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 2230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692800).

2230144 is an abundant number, since it is smaller than the sum of its proper divisors (3155456).

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

2230144 is a wasteful number, since it uses less digits than its factorization.

2230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2230144 is about 1493.3666662947. The cubic root of 2230144 is about 130.6504677036.

Adding to 2230144 its reverse (4410322), we get a palindrome (6640466).

The spelling of 2230144 in words is "two million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 131 133 152 224 262 266 304 448 524 532 608 896 917 1048 1064 1216 1834 2096 2128 2432 2489 3668 4192 4256 4978 7336 8384 8512 9956 14672 16768 17024 17423 19912 29344 34846 39824 58688 69692 79648 117376 139384 159296 278768 318592 557536 1115072 2230144