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11322225320 = 235760766617
BaseRepresentation
bin10101000101101101…
…10111001010101000
31002020001202122021112
422202312313022220
5141141442202240
65111254325452
7550401220160
oct124266671250
932201678245
1011322225320
11489011250a
12223b959888
1310b5907713
147959cb5a0
15463edd665
hex2a2db72a8

11322225320 has 64 divisors (see below), whose sum is σ = 29162695680. Its totient is φ = 3875452416.

The previous prime is 11322225307. The next prime is 11322225347. The reversal of 11322225320 is 2352222311.

11322225320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136652 + ... + 203268.

It is an arithmetic number, because the mean of its divisors is an integer number (455667120).

Almost surely, 211322225320 is an apocalyptic number.

11322225320 is a gapful number since it is divisible by the number (10) 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 11322225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581347840).

11322225320 is an abundant number, since it is smaller than the sum of its proper divisors (17840470360).

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

11322225320 is a wasteful number, since it uses less digits than its factorization.

11322225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67242 (or 67238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 11322225320 its reverse (2352222311), we get a palindrome (13674447631).

The spelling of 11322225320 in words is "eleven billion, three hundred twenty-two million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 607 1214 2428 3035 4249 4856 6070 8498 12140 16996 21245 24280 33992 42490 66617 84980 133234 169960 266468 333085 466319 532936 666170 932638 1332340 1865276 2331595 2664680 3730552 4663190 9326380 18652760 40436519 80873038 161746076 202182595 283055633 323492152 404365190 566111266 808730380 1132222532 1415278165 1617460760 2264445064 2830556330 5661112660 11322225320