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226005174016 = 2810713162983
BaseRepresentation
bin1101001001111011110…
…1010100011100000000
3210121100200121101211121
43102132331110130000
512200324311032031
6251454135122024
722220422165606
oct3223675243400
9717320541747
10226005174016
1187937035356
1237974813314
1318409b848cb
14ad1db61876
155d2b4eb011
hex349ef54700

226005174016 has 72 divisors (see below), whose sum is σ = 458826850944. Its totient is φ = 111090170880.

The previous prime is 226005174001. The next prime is 226005174019. The reversal of 226005174016 is 610471500622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226005174019) 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, 3556861 + ... + 3619843.

It is an arithmetic number, because the mean of its divisors is an integer number (6372595152).

Almost surely, 2226005174016 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 226005174016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229413425472).

226005174016 is an abundant number, since it is smaller than the sum of its proper divisors (232821676928).

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

226005174016 is a wasteful number, since it uses less digits than its factorization.

226005174016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63237 (or 63223 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 226005174016 its reverse (610471500622), we get a palindrome (836476674638).

The spelling of 226005174016 in words is "two hundred twenty-six billion, five million, one hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 107 128 131 214 256 262 428 524 856 1048 1712 2096 3424 4192 6848 8384 13696 14017 16768 27392 28034 33536 56068 62983 112136 125966 224272 251932 448544 503864 897088 1007728 1794176 2015456 3588352 4030912 6739181 8061824 8250773 13478362 16123648 16501546 26956724 33003092 53913448 66006184 107826896 132012368 215653792 264024736 431307584 528049472 862615168 882832711 1056098944 1725230336 1765665422 2112197888 3531330844 7062661688 14125323376 28250646752 56501293504 113002587008 226005174016