Search a number
-
+
2205053560 = 235313834643
BaseRepresentation
bin1000001101101110…
…0111001001111000
312200200012022211101
42003123213021320
514003443203220
61002445541144
7105433434403
oct20333471170
95620168741
102205053560
11a31771416
125165747b4
13291ab0928
1416cbd4d3a
15cd8b930a
hex836e7278

2205053560 has 64 divisors (see below), whose sum is σ = 5135892480. Its totient is φ = 851157120.

The previous prime is 2205053519. The next prime is 2205053579. The reversal of 2205053560 is 653505022.

2205053560 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 2×22050535602 = 9724522404937347200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472599 + ... + 477241.

It is an arithmetic number, because the mean of its divisors is an integer number (80248320).

Almost surely, 22205053560 is an apocalyptic number.

2205053560 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 2205053560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567946240).

2205053560 is an abundant number, since it is smaller than the sum of its proper divisors (2930838920).

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

2205053560 is a wasteful number, since it uses less digits than its factorization.

2205053560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2205053560 is about 46957.9978278461. The cubic root of 2205053560 is about 1301.5865363562.

Adding to 2205053560 its reverse (653505022), we get a palindrome (2858558582).

The spelling of 2205053560 in words is "two billion, two hundred five million, fifty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 383 620 766 1240 1532 1915 3064 3830 4643 7660 9286 11873 15320 18572 23215 23746 37144 46430 47492 59365 92860 94984 118730 143933 185720 237460 287866 474920 575732 719665 1151464 1439330 1778269 2878660 3556538 5757320 7113076 8891345 14226152 17782690 35565380 55126339 71130760 110252678 220505356 275631695 441010712 551263390 1102526780 2205053560