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2255720220 = 22325136115803
BaseRepresentation
bin1000011001110011…
…1000111100011100
312211012112110102100
42012130320330130
514104431021340
61011455525100
7106620206535
oct20634707434
95735473370
102255720220
11a58327a96
1252b529790
1329c4405c0
1417582368c
15d3076830
hex86738f1c

2255720220 has 144 divisors (see below), whose sum is σ = 7489958112. Its totient is φ = 546117120.

The previous prime is 2255720189. The next prime is 2255720249. The reversal of 2255720220 is 220275522.

2255720220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134839 + ... + 150641.

It is an arithmetic number, because the mean of its divisors is an integer number (52013598).

Almost surely, 22255720220 is an apocalyptic number.

2255720220 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 2255720220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744979056).

2255720220 is an abundant number, since it is smaller than the sum of its proper divisors (5234237892).

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

2255720220 is a wasteful number, since it uses less digits than its factorization.

2255720220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15892 (or 15887 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2255720220 is about 47494.4230410266. The cubic root of 2255720220 is about 1311.4802179262.

Adding to 2255720220 its reverse (220275522), we get a palindrome (2475995742).

The spelling of 2255720220 in words is "two billion, two hundred fifty-five million, seven hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 610 732 780 793 915 1098 1170 1220 1586 1830 2196 2340 2379 2745 3172 3660 3965 4758 5490 7137 7930 9516 10980 11895 14274 15803 15860 23790 28548 31606 35685 47409 47580 63212 71370 79015 94818 142227 142740 158030 189636 205439 237045 284454 316060 410878 474090 568908 616317 711135 821756 948180 963983 1027195 1232634 1422270 1848951 1927966 2054390 2465268 2844540 2891949 3081585 3697902 3855932 4108780 4819915 5783898 6163170 7395804 8675847 9244755 9639830 11567796 12326340 12531779 14459745 17351694 18489510 19279660 25063558 28919490 34703388 36979020 37595337 43379235 50127116 57838980 62658895 75190674 86758470 112786011 125317790 150381348 173516940 187976685 225572022 250635580 375953370 451144044 563930055 751906740 1127860110 2255720220