Search a number
-
+
2240303100 = 2235271066811
BaseRepresentation
bin1000010110001000…
…0100111111111100
312210010112012002220
42011202010333330
514042004144400
61010145245340
7106342155630
oct20542047774
95703465086
102240303100
11a4a657972
12526333850
132991a3149
1417376cdc0
15d1a2d7a0
hex85884ffc

2240303100 has 72 divisors (see below), whose sum is σ = 7407942528. Its totient is φ = 512068800.

The previous prime is 2240303069. The next prime is 2240303113. The reversal of 2240303100 is 13030422.

2240303100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22403031002 = 10037915959739220000, which contains 22 as substring.

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 2240303100.

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, 531306 + ... + 535505.

Almost surely, 22240303100 is an apocalyptic number.

2240303100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240303100 is an abundant number, since it is smaller than the sum of its proper divisors (5167639428).

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

2240303100 is a wasteful number, since it uses less digits than its factorization.

2240303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066835 (or 1066828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2240303100 is about 47331.8402346666. The cubic root of 2240303100 is about 1308.4855369018.

Adding to 2240303100 its reverse (13030422), we get a palindrome (2253333522).

The spelling of 2240303100 in words is "two billion, two hundred forty million, three hundred three thousand, one 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 2100 1066811 2133622 3200433 4267244 5334055 6400866 7467677 10668110 12801732 14935354 16002165 21336220 22403031 26670275 29870708 32004330 37338385 44806062 53340550 64008660 74676770 80010825 89612124 106681100 112015155 149353540 160021650 186691925 224030310 320043300 373383850 448060620 560075775 746767700 1120151550 2240303100