Search a number
-
+
22041556560 = 24325157194989
BaseRepresentation
bin10100100001110001…
…110111011001010000
32002220010002002100200
4110201301313121100
5330120114302220
614043055015200
71410132065562
oct244161673120
962803062320
1022041556560
11939097a751
12433180a500
13210364217a
1410d14bb332
158900db890
hex521c77650

22041556560 has 120 divisors (see below), whose sum is σ = 74494759560. Its totient is φ = 5840280576.

The previous prime is 22041556549. The next prime is 22041556561. The reversal of 22041556560 is 6565514022.

22041556560 is a `hidden beast` number, since 2 + 2 + 0 + 41 + 5 + 56 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259338816 + 21782217744 = 16104^2 + 147588^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22041556561) 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, 15546 + ... + 210534.

It is an arithmetic number, because the mean of its divisors is an integer number (620789663).

Almost surely, 222041556560 is an apocalyptic number.

22041556560 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 22041556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37247379780).

22041556560 is an abundant number, since it is smaller than the sum of its proper divisors (52453203000).

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

22041556560 is a wasteful number, since it uses less digits than its factorization.

22041556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195165 (or 195156 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 22041556560 in words is "twenty-two billion, forty-one million, five hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1256 1413 1570 1884 2355 2512 2826 3140 3768 4710 5652 6280 7065 7536 9420 11304 12560 14130 18840 22608 28260 37680 56520 113040 194989 389978 584967 779956 974945 1169934 1559912 1754901 1949890 2339868 2924835 3119824 3509802 3899780 4679736 5849670 7019604 7799560 8774505 9359472 11699340 14039208 15599120 17549010 23398680 28078416 30613273 35098020 46797360 61226546 70196040 91839819 122453092 140392080 153066365 183679638 244906184 275519457 306132730 367359276 459199095 489812368 551038914 612265460 734718552 918398190 1102077828 1224530920 1377597285 1469437104 1836796380 2204155656 2449061840 2755194570 3673592760 4408311312 5510389140 7347185520 11020778280 22041556560