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223133320331020 = 2251119127411937311
BaseRepresentation
bin110010101111000001000110…
…010010111011111100001100
31002021001100002202002101012001
4302233001012102323330030
5213221304020001043040
62110322010544322044
764666564454611321
oct6257010622737414
91067040082071161
10223133320331020
1165108345287010
1221038895613324
1397674c6b27638
143d159d31d2b48
151abe322c4959a
hexcaf0464bbf0c

223133320331020 has 96 divisors (see below), whose sum is σ = 514042212483072. Its totient is φ = 80685086880000.

The previous prime is 223133320331011. The next prime is 223133320331023. The reversal of 223133320331020 is 20133023331322.

223133320331020 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-3 number, since 3×2231333203310203 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223133320331020.

It is not an unprimeable number, because it can be changed into a prime (223133320331023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114208165 + ... + 116145475.

It is an arithmetic number, because the mean of its divisors is an integer number (5354606380032).

Almost surely, 2223133320331020 is an apocalyptic number.

223133320331020 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 223133320331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257021106241536).

223133320331020 is an abundant number, since it is smaller than the sum of its proper divisors (290908892152052).

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

223133320331020 is a wasteful number, since it uses less digits than its factorization.

223133320331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940263 (or 1940261 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 223133320331020 its reverse (20133023331322), we get a palindrome (243266343662342).

The spelling of 223133320331020 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, three hundred twenty million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 2741 3820 4202 5482 8404 10505 10964 13705 21010 27410 30151 42020 54820 60302 120604 150755 301510 523531 603020 1047062 1937311 2094124 2617655 3874622 5235310 5758841 7749244 9686555 10470620 11517682 19373110 21310421 23035364 28794205 38746220 42620842 57588410 85241684 106552105 115176820 213104210 370026401 426208420 740052802 1480105604 1850132005 3700264010 4070290411 5310169451 7400528020 8140580822 10620338902 16281161644 20351452055 21240677804 26550847255 40702904110 53101694510 58411863961 81405808220 106203389020 116823727922 233647455844 292059319805 584118639610 1014242365141 1168237279220 2028484730282 4056969460564 5071211825705 10142423651410 11156666016551 20284847302820 22313332033102 44626664066204 55783330082755 111566660165510 223133320331020