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224201401144 = 23735311341633
BaseRepresentation
bin1101000011001101110…
…0011110001100111000
3210102200222111020121221
43100303130132030320
512133131024314034
6250555142041424
722124630315560
oct3206334361470
9712628436557
10224201401144
11870a0934076
1237550719274
13181b0273496
14abcc385da0
155c72e99bb4
hex343371e338

224201401144 has 32 divisors (see below), whose sum is σ = 481792612320. Its totient is φ = 95814107136.

The previous prime is 224201401133. The next prime is 224201401211. The reversal of 224201401144 is 441104102422.

It is a happy number.

224201401144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2242014011443 (a number of 35 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5651049 + ... + 5690584.

It is an arithmetic number, because the mean of its divisors is an integer number (15056019135).

Almost surely, 2224201401144 is an apocalyptic number.

It is an amenable number.

224201401144 is an abundant number, since it is smaller than the sum of its proper divisors (257591211176).

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

224201401144 is a wasteful number, since it uses less digits than its factorization.

224201401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11341999 (or 11341995 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 224201401144 its reverse (441104102422), we get a palindrome (665305503566).

The spelling of 224201401144 in words is "two hundred twenty-four billion, two hundred one million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 353 706 1412 2471 2824 4942 9884 19768 11341633 22683266 45366532 79391431 90733064 158782862 317565724 635131448 4003596449 8007192898 16014385796 28025175143 32028771592 56050350286 112100700572 224201401144