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226645030144 = 2813161342221
BaseRepresentation
bin1101001100010100011…
…0001011010100000000
3210200000021121110102201
43103011012023110000
512203132111431034
6252041433322544
722242321653431
oct3230506132400
9720007543381
10226645030144
1188135235775
1237b12b66454
13184ac5c66c0
14ad80b21488
155d6778d014
hex34c518b500

226645030144 has 72 divisors (see below), whose sum is σ = 487518687432. Its totient is φ = 104538071040.

The previous prime is 226645029971. The next prime is 226645030153. The reversal of 226645030144 is 441030546622.

It can be written as a sum of positive squares in 4 ways, for example, as 69105894400 + 157539135744 = 262880^2 + 396912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5346954 + ... + 5389174.

It is an arithmetic number, because the mean of its divisors is an integer number (6771092881).

Almost surely, 2226645030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226645030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243759343716).

226645030144 is an abundant number, since it is smaller than the sum of its proper divisors (260873657288).

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

226645030144 is a wasteful number, since it uses less digits than its factorization.

226645030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43863 (or 43849 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 226645030144 its reverse (441030546622), we get a palindrome (667675576766).

The spelling of 226645030144 in words is "two hundred twenty-six billion, six hundred forty-five million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1613 1664 3226 3328 6452 12904 20969 25808 41938 42221 51616 83876 84442 103232 167752 168884 206464 335504 337768 412928 548873 671008 675536 1097746 1342016 1351072 2195492 2684032 2702144 4390984 5368064 5404288 8781968 10808576 17563936 35127872 68102473 70255744 136204946 140511488 272409892 544819784 885332149 1089639568 1770664298 2179279136 3541328596 4358558272 7082657192 8717116544 14165314384 17434233088 28330628768 56661257536 113322515072 226645030144