Search a number
-
+
2442300 = 2235271163
BaseRepresentation
bin1001010100010000111100
311121002012120
421110100330
51111123200
6124202540
726521260
oct11242074
94532176
102442300
111418a33
12999450
13676863
144780a0
153339a0
hex25443c

2442300 has 72 divisors (see below), whose sum is σ = 8082816. Its totient is φ = 557760.

The previous prime is 2442289. The next prime is 2442311. The reversal of 2442300 is 32442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2442289) and next prime (2442311).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2442300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1519 + ... + 2681.

22442300 is an apocalyptic number.

2442300 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 2442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041408).

2442300 is an abundant number, since it is smaller than the sum of its proper divisors (5640516).

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

2442300 is a wasteful number, since it uses less digits than its factorization.

2442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2442300 is about 1562.7859738301. The cubic root of 2442300 is about 134.6685972776.

Adding to 2442300 its reverse (32442), we get a palindrome (2474742).

It can be divided in two parts, 24 and 42300, that added together give a palindrome (42324).

The spelling of 2442300 in words is "two million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1163 2100 2326 3489 4652 5815 6978 8141 11630 13956 16282 17445 23260 24423 29075 32564 34890 40705 48846 58150 69780 81410 87225 97692 116300 122115 162820 174450 203525 244230 348900 407050 488460 610575 814100 1221150 2442300