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224635360144 = 241310067107279
BaseRepresentation
bin1101000100110101001…
…1111001001110010000
3210110211020001122110111
43101031103321032100
512140023123011034
6251110203211104
722141450025266
oct3211523711620
9713736048414
10224635360144
11872a3893978
1237651b16a94
131824c144a60
14ac2dc6a436
155c9b11a364
hex344d4f9390

224635360144 has 40 divisors (see below), whose sum is σ = 468761247360. Its totient is φ = 103666593408.

The previous prime is 224635360141. The next prime is 224635360151. The reversal of 224635360144 is 441063536422.

It is a super-2 number, since 2×2246353601442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224635360097 and 224635360106.

It is not an unprimeable number, because it can be changed into a prime (224635360141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2040297 + ... + 2147575.

It is an arithmetic number, because the mean of its divisors is an integer number (11719031184).

Almost surely, 2224635360144 is an apocalyptic number.

It is an amenable number.

224635360144 is an abundant number, since it is smaller than the sum of its proper divisors (244125887216).

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

224635360144 is a wasteful number, since it uses less digits than its factorization.

224635360144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117367 (or 117361 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 224635360144 its reverse (441063536422), we get a palindrome (665698896566).

The spelling of 224635360144 in words is "two hundred twenty-four billion, six hundred thirty-five million, three hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 10067 20134 40268 80536 107279 130871 161072 214558 261742 429116 523484 858232 1046968 1394627 1716464 2093936 2789254 5578508 11157016 22314032 1079977693 2159955386 4319910772 8639821544 14039710009 17279643088 28079420018 56158840036 112317680072 224635360144