Search a number
-
+
2234520 = 233352069
BaseRepresentation
bin1000100001100010011000
311012112012000
420201202120
51033001040
6115521000
724664431
oct10414230
94175160
102234520
111296912
128b9160
13603102
14422488
152e2130
hex221898

2234520 has 64 divisors (see below), whose sum is σ = 7452000. Its totient is φ = 595584.

The previous prime is 2234513. The next prime is 2234539. The reversal of 2234520 is 254322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 23 + 217 + 37 + 46 + 5 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2234493 and 2234502.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46 + ... + 2114.

22234520 is an apocalyptic number.

2234520 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 2234520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726000).

2234520 is an abundant number, since it is smaller than the sum of its proper divisors (5217480).

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

2234520 is a wasteful number, since it uses less digits than its factorization.

2234520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2234520 is about 1494.8310941374. The cubic root of 2234520 is about 130.7358662108.

Adding to 2234520 its reverse (254322), we get a palindrome (2488842).

The spelling of 2234520 in words is "two million, two hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2069 4138 6207 8276 10345 12414 16552 18621 20690 24828 31035 37242 41380 49656 55863 62070 74484 82760 93105 111726 124140 148968 186210 223452 248280 279315 372420 446904 558630 744840 1117260 2234520