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225543242112 = 27317167206887
BaseRepresentation
bin1101001000001101101…
…1001100000110000000
3210120011111101211101120
43102003123030012000
512143403032221422
6251340234232240
722203112632426
oct3220333140600
9716144354346
10225543242112
118771a30a051
1237865b85680
131836526ac16
14acb8679116
155d00ba245c
hex34836cc180

225543242112 has 128 divisors (see below), whose sum is σ = 638141898240. Its totient is φ = 70334619648.

The previous prime is 225543242033. The next prime is 225543242117. The reversal of 225543242112 is 211242345522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225543242117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986733 + ... + 1193619.

It is an arithmetic number, because the mean of its divisors is an integer number (4985483580).

Almost surely, 2225543242112 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 225543242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319070949120).

225543242112 is an abundant number, since it is smaller than the sum of its proper divisors (412598656128).

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

225543242112 is a wasteful number, since it uses less digits than its factorization.

225543242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207088 (or 207076 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

Adding to 225543242112 its reverse (211242345522), we get a palindrome (436785587634).

The spelling of 225543242112 in words is "two hundred twenty-five billion, five hundred forty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 167 192 204 272 334 384 408 501 544 668 816 1002 1088 1336 1632 2004 2176 2672 2839 3264 4008 5344 5678 6528 8016 8517 10688 11356 16032 17034 21376 22712 32064 34068 45424 64128 68136 90848 136272 181696 206887 272544 363392 413774 545088 620661 827548 1090176 1241322 1655096 2482644 3310192 3517079 4965288 6620384 7034158 9930576 10551237 13240768 14068316 19861152 21102474 26481536 28136632 34550129 39722304 42204948 56273264 69100258 79444608 84409896 103650387 112546528 138200516 168819792 207300774 225093056 276401032 337639584 414601548 450186112 552802064 587352193 675279168 829203096 1105604128 1174704386 1350558336 1658406192 1762056579 2211208256 2349408772 3316812384 3524113158 4422416512 4698817544 6633624768 7048226316 9397635088 13267249536 14096452632 18795270176 28192905264 37590540352 56385810528 75181080704 112771621056 225543242112