Search a number
-
+
222400313100400 = 24523129536073657
BaseRepresentation
bin110010100100010110011011…
…101010010000100001110000
31002011110021002012122221012011
4302210112123222100201300
5213122301320123203100
62105001143211412304
764562615041136611
oct6244263352204160
91064407065587164
10222400313100400
1164955496865526
1220b3a806a54094
13971334b27bc06
143ccc338317c08
151aaa221046bba
hexca459ba90870

222400313100400 has 120 divisors (see below), whose sum is σ = 551739644430464. Its totient is φ = 86061276057600.

The previous prime is 222400313100391. The next prime is 222400313100401. The reversal of 222400313100400 is 4001313004222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222400313100401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33580372 + ... + 39654028.

Almost surely, 2222400313100400 is an apocalyptic number.

222400313100400 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 222400313100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275869822215232).

222400313100400 is an abundant number, since it is smaller than the sum of its proper divisors (329339331330064).

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

222400313100400 is a wasteful number, since it uses less digits than its factorization.

222400313100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076659 (or 6076648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 222400313100400 its reverse (4001313004222), we get a palindrome (226401626104622).

The spelling of 222400313100400 in words is "two hundred twenty-two trillion, four hundred billion, three hundred thirteen million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 2953 3100 5906 6200 11812 12400 14765 23624 29530 47248 59060 73825 91543 118120 147650 183086 236240 295300 366172 457715 590600 732344 915430 1181200 1464688 1830860 2288575 3661720 4577150 6073657 7323440 9154300 12147314 18308600 24294628 30368285 36617200 48589256 60736570 97178512 121473140 151841425 188283367 242946280 303682850 376566734 485892560 607365700 753133468 941416835 1214731400 1506266936 1882833670 2429462800 3012533872 3765667340 4707084175 7531334680 9414168350 15062669360 17935509121 18828336700 35871018242 37656673400 71742036484 75313346800 89677545605 143484072968 179355091210 286968145936 358710182420 448387728025 556000782751 717420364840 896775456050 1112001565502 1434840729680 1793550912100 2224003131004 2780003913755 3587101824200 4448006262008 5560007827510 7174203648400 8896012524016 11120015655020 13900019568775 22240031310040 27800039137550 44480062620080 55600078275100 111200156550200 222400313100400