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223102420240240 = 24543191339556831
BaseRepresentation
bin110010101110100100010100…
…100000011100011101110000
31002020221101100021010010101101
4302232210110200130131300
5213220302224040141430
62110255500440214144
764664421645305152
oct6256442440343560
91066841307103341
10223102420240240
11650a6228a59502
12210328b116a354
139764611136758
143d14301406ad2
151abd6150c6dca
hexcae91481c770

223102420240240 has 80 divisors (see below), whose sum is σ = 533555157712896. Its totient is φ = 86709232108800.

The previous prime is 223102420240027. The next prime is 223102420240247. The reversal of 223102420240240 is 42042024201322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2231024202402403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223102420240199 and 223102420240208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223102420240247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169121376 + ... + 170435455.

Almost surely, 2223102420240240 is an apocalyptic number.

223102420240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223102420240240 is an abundant number, since it is smaller than the sum of its proper divisors (310452737472656).

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

223102420240240 is a wasteful number, since it uses less digits than its factorization.

223102420240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339557078 (or 339557072 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 223102420240240 its reverse (42042024201322), we get a palindrome (265144444441562).

The spelling of 223102420240240 in words is "two hundred twenty-three trillion, one hundred two billion, four hundred twenty million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 191 215 344 382 430 688 764 860 955 1528 1720 1910 3056 3440 3820 7640 8213 15280 16426 32852 41065 65704 82130 131408 164260 328520 657040 339556831 679113662 1358227324 1697784155 2716454648 3395568310 5432909296 6791136620 13582273240 14600943733 27164546480 29201887466 58403774932 64855354721 73004718665 116807549864 129710709442 146009437330 233615099728 259421418884 292018874660 324276773605 518842837768 584037749320 648553547210 1037685675536 1168075498640 1297107094420 2594214188840 2788780253003 5188428377680 5577560506006 11155121012012 13943901265015 22310242024024 27887802530030 44620484048048 55775605060060 111551210120120 223102420240240