Search a number
-
+
22013321320 = 235619979049
BaseRepresentation
bin10100100000000110…
…001010000001101000
32002211010221120220001
4110200012022001220
5330040402240240
614040205512344
71406340100234
oct244006120150
962733846801
1022013321320
119376a45141
1243242726b4
1320ca837523
1410cb84b5c4
1588c8b089a
hex52018a068

22013321320 has 64 divisors (see below), whose sum is σ = 50398002000. Its totient is φ = 8651335680.

The previous prime is 22013321299. The next prime is 22013321327. The reversal of 22013321320 is 2312331022.

It can be written as a sum of positive squares in 8 ways, for example, as 11213539236 + 10799782084 = 105894^2 + 103922^2 .

It is not an unprimeable number, because it can be changed into a prime (22013321327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2428156 + ... + 2437204.

Almost surely, 222013321320 is an apocalyptic number.

22013321320 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 22013321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25199001000).

22013321320 is an abundant number, since it is smaller than the sum of its proper divisors (28384680680).

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

22013321320 is a wasteful number, since it uses less digits than its factorization.

22013321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22013321320 its reverse (2312331022), we get a palindrome (24325652342).

The spelling of 22013321320 in words is "twenty-two billion, thirteen million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 997 1220 1994 2440 3988 4985 7976 9049 9970 18098 19940 36196 39880 45245 60817 72392 90490 121634 180980 243268 304085 361960 486536 551989 608170 1103978 1216340 2207956 2432680 2759945 4415912 5519890 9021853 11039780 18043706 22079560 36087412 45109265 72174824 90218530 180437060 360874120 550333033 1100666066 2201332132 2751665165 4402664264 5503330330 11006660660 22013321320