Search a number
-
+
2245201020 = 2232526214759
BaseRepresentation
bin1000010111010011…
…0000110001111100
312210110202000210100
42011310300301330
514044232413040
61010442241100
7106431615366
oct20564606174
95713660710
102245201020
11a523a2837
12527ab6190
1329a1c961a
14174285d36
15d2199b30
hex85d30c7c

2245201020 has 72 divisors (see below), whose sum is σ = 6814473120. Its totient is φ = 598366080.

The previous prime is 2245201019. The next prime is 2245201027. The reversal of 2245201020 is 201025422.

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

It is a junction number, because it is equal to n+sod(n) for n = 2245200984 and 2245201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245201027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469401 + ... + 474159.

It is an arithmetic number, because the mean of its divisors is an integer number (94645460).

Almost surely, 22245201020 is an apocalyptic number.

2245201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245201020 is an abundant number, since it is smaller than the sum of its proper divisors (4569272100).

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

2245201020 is a wasteful number, since it uses less digits than its factorization.

2245201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2245201020 is about 47383.5522096012. The cubic root of 2245201020 is about 1309.4384128223.

Adding to 2245201020 its reverse (201025422), we get a palindrome (2446226442).

The spelling of 2245201020 in words is "two billion, two hundred forty-five million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2621 4759 5242 7863 9518 10484 13105 14277 15726 19036 23589 23795 26210 28554 31452 39315 42831 47178 47590 52420 57108 71385 78630 85662 94356 95180 117945 142770 157260 171324 214155 235890 285540 428310 471780 856620 12473339 24946678 37420017 49893356 62366695 74840034 112260051 124733390 149680068 187100085 224520102 249466780 374200170 449040204 561300255 748400340 1122600510 2245201020