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224420232144 = 24322193210671
BaseRepresentation
bin1101000100000001111…
…1001111101111010000
3210110021020021000022210
43101000133033233100
512134103034412034
6251033000232120
722133225333043
oct3210037175720
9713236230283
10224420232144
11871a3409039
12375b1a6b640
13182166c1a94
14ac0d46ac5a
155c872c38e9
hex34407cfbd0

224420232144 has 40 divisors (see below), whose sum is σ = 579781141632. Its totient is φ = 74803018240.

The previous prime is 224420232121. The next prime is 224420232149. The reversal of 224420232144 is 441232024422.

It is a happy number.

224420232144 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 not an unprimeable number, because it can be changed into a prime (224420232149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 959929 + ... + 1170599.

Almost surely, 2224420232144 is an apocalyptic number.

224420232144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224420232144 is an abundant number, since it is smaller than the sum of its proper divisors (355360909488).

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

224420232144 is a wasteful number, since it uses less digits than its factorization.

224420232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232875 (or 232869 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224420232144 its reverse (441232024422), we get a palindrome (665652256566).

The spelling of 224420232144 in words is "two hundred twenty-four billion, four hundred twenty million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 22193 44386 66579 88772 133158 177544 210671 266316 355088 421342 532632 632013 842684 1065264 1264026 1685368 2528052 3370736 5056104 10112208 4675421503 9350843006 14026264509 18701686012 28052529018 37403372024 56105058036 74806744048 112210116072 224420232144