Search a number
-
+
223031222232000 = 26353713102120523
BaseRepresentation
bin110010101101100010000000…
…110001100110001111000000
31002020200120120100111120011020
4302231202000301212033000
5213213120420342411000
62110203043511545440
764656321413234130
oct6255420061461700
91066616510446136
10223031222232000
11650790125a1086
1221020b4108b280
13975a9a57443b0
143d10aa965cac0
151abb849720ba0
hexcad880c663c0

223031222232000 has 448 divisors, whose sum is σ = 906398896026624. Its totient is φ = 47057136537600.

The previous prime is 223031222231971. The next prime is 223031222232017. The reversal of 223031222232000 is 232222130322.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48876262 + ... + 53244261.

It is an arithmetic number, because the mean of its divisors is an integer number (2023211821488).

Almost surely, 2223031222232000 is an apocalyptic number.

223031222232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223031222232000 is an abundant number, since it is smaller than the sum of its proper divisors (683367673794624).

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

223031222232000 is a wasteful number, since it uses less digits than its factorization.

223031222232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102120573 (or 102120553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223031222232000 its reverse (232222130322), we get a palindrome (223263444362322).

The spelling of 223031222232000 in words is "two hundred twenty-three trillion, thirty-one billion, two hundred twenty-two million, two hundred thirty-two thousand".