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229236577152 = 273111922912473
BaseRepresentation
bin1101010101111110010…
…0001001001110000000
3210220200220001200121020
43111133210021032000
512223434030432102
6253150531225440
722363460520162
oct3253744111600
9726626050536
10229236577152
1189245087360
1238516a48280
1318803499c7b
14b148da2932
155e6a04dbbc
hex355f909380

229236577152 has 256 divisors, whose sum is σ = 702336096000. Its totient is φ = 65516912640.

The previous prime is 229236577117. The next prime is 229236577177. The reversal of 229236577152 is 251775632922.

It is a happy number.

It is a super-2 number, since 2×2292365771522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229236577095 and 229236577104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18372388 + ... + 18384860.

It is an arithmetic number, because the mean of its divisors is an integer number (2743500375).

Almost surely, 2229236577152 is an apocalyptic number.

229236577152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229236577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351168048000).

229236577152 is an abundant number, since it is smaller than the sum of its proper divisors (473099518848).

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

229236577152 is a wasteful number, since it uses less digits than its factorization.

229236577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12737 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 229236577152 in words is "two hundred twenty-nine billion, two hundred thirty-six million, five hundred seventy-seven thousand, one hundred fifty-two".