Search a number
-
+
2402204420 = 2257211222839
BaseRepresentation
bin1000111100101110…
…1011101100000100
320012102011121222002
42033023223230010
514404431020140
61034211324432
7113346254300
oct21713535404
96172147862
102402204420
111022a88810
125705b0718
132c38ab145
1418b074d00
15e0d5e415
hex8f2ebb04

2402204420 has 72 divisors (see below), whose sum is σ = 6401747520. Its totient is φ = 748735680.

The previous prime is 2402204359. The next prime is 2402204449. The reversal of 2402204420 is 244022042.

2402204420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2402204392 and 2402204401.

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, 100640 + ... + 122199.

It is an arithmetic number, because the mean of its divisors is an integer number (88913160).

Almost surely, 22402204420 is an apocalyptic number.

2402204420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402204420 is an abundant number, since it is smaller than the sum of its proper divisors (3999543100).

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

2402204420 is a wasteful number, since it uses less digits than its factorization.

2402204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222873 (or 222864 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2402204420 is about 49012.2884591201. The cubic root of 2402204420 is about 1339.2756945523.

Adding to 2402204420 its reverse (244022042), we get a palindrome (2646226462).

The spelling of 2402204420 in words is "two billion, four hundred two million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 222839 445678 891356 1114195 1559873 2228390 2451229 3119746 4456780 4902458 6239492 7799365 9804916 10919111 12256145 15598730 17158603 21838222 24512290 31197460 34317206 43676444 49024580 54595555 68634412 85793015 109191110 120110221 171586030 218382220 240220442 343172060 480440884 600551105 1201102210 2402204420