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224121425253456 = 243191357871809799
BaseRepresentation
bin110010111101011001010101…
…111100000101010001010000
31002101112210120110211020211210
4302331121111330011101100
5213334001134331102311
62112355543354140120
765131144564100043
oct6275312574052120
91071483513736753
10224121425253456
11654593a97a4095
1221178297a21640
139809737906833
143d4b76b930c5a
151ad9da50683a6
hexcbd655f05450

224121425253456 has 80 divisors (see below), whose sum is σ = 609457823552000. Its totient is φ = 70774626593664.

The previous prime is 224121425253449. The next prime is 224121425253491. The reversal of 224121425253456 is 654352524121422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122932845 + ... + 124742643.

It is an arithmetic number, because the mean of its divisors is an integer number (7618222794400).

Almost surely, 2224121425253456 is an apocalyptic number.

It is an amenable number.

224121425253456 is an abundant number, since it is smaller than the sum of its proper divisors (385336398298544).

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

224121425253456 is a wasteful number, since it uses less digits than its factorization.

224121425253456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945616 (or 1945610 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 48.

Adding to 224121425253456 its reverse (654352524121422), we get a palindrome (878473949374878).

The spelling of 224121425253456 in words is "two hundred twenty-four trillion, one hundred twenty-one billion, four hundred twenty-five million, two hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 135787 271574 407361 543148 814722 1086296 1629444 1809799 2172592 2579953 3258888 3619598 5159906 5429397 6517776 7239196 7739859 10319812 10858794 14478392 15479718 20639624 21717588 28956784 30959436 34386181 41279248 43435176 61918872 68772362 86870352 103158543 123837744 137544724 206317086 275089448 412634172 550178896 825268344 1650536688 245747176813 491494353626 737241530439 982988707252 1474483060878 1965977414504 2948966121756 3931954829008 4669196359447 5897932243512 9338392718894 11795864487024 14007589078341 18676785437788 28015178156682 37353570875576 56030356313364 74707141751152 112060712626728 224121425253456