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220223113013300 = 225223216152338467
BaseRepresentation
bin110010000100101010110000…
…011011000010100000110100
31001212202010100101120222102012
4302010222300123002200310
5212331113413412411200
62100213033525503352
764246411015555025
oct6204526033024064
91055663311528365
10220223113013300
1164196109100571
122084886ab71b58
1395b5c4819c9c7
143c54bd986cc4c
151a6d79657ea35
hexc84ab06c2834

220223113013300 has 144 divisors (see below), whose sum is σ = 499046751380352. Its totient is φ = 84194248089600.

The previous prime is 220223113013237. The next prime is 220223113013303. The reversal of 220223113013300 is 3310311322022.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220223113013303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26009575667 + ... + 26009584133.

Almost surely, 2220223113013300 is an apocalyptic number.

220223113013300 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 220223113013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249523375690176).

220223113013300 is an abundant number, since it is smaller than the sum of its proper divisors (278823638367052).

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

220223113013300 is a wasteful number, since it uses less digits than its factorization.

220223113013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15898 (or 15891 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 220223113013300 its reverse (3310311322022), we get a palindrome (223533424335322).

The spelling of 220223113013300 in words is "two hundred twenty trillion, two hundred twenty-three billion, one hundred thirteen million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2161 2300 4322 5233 8467 8644 10466 10805 16934 20932 21610 26165 33868 42335 43220 49703 52330 54025 84670 99406 104660 108050 120359 130825 169340 194741 198812 211675 216100 240718 248515 261650 389482 423350 481436 497030 523300 601795 778964 846700 973705 994060 1203590 1242575 1947410 2407180 2485150 3008975 3894820 4868525 4970300 6017950 9737050 11308513 12035900 18297187 19474100 22617026 36594374 44307811 45234052 56542565 73188748 88615622 91485935 113085130 177231244 182971870 221539055 226170260 260095799 282712825 365943740 420835301 443078110 457429675 520191598 565425650 841670602 886156220 914859350 1019079653 1040383196 1107695275 1130851300 1300478995 1683341204 1829718700 2038159306 2104176505 2215390550 2600957990 4076318612 4208353010 4430781100 5095398265 5201915980 6502394975 8416706020 10190796530 10520882525 13004789950 20381593060 21041765050 25476991325 26009579900 42083530100 50953982650 95749179571 101907965300 191498359142 382996718284 478745897855 957491795710 1914983591420 2202231130133 2393729489275 4404462260266 4787458978550 8808924520532 9574917957100 11011155650665 22022311301330 44044622602660 55055778253325 110111556506650 220223113013300