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235705472 = 27232592
BaseRepresentation
bin11100000110010…
…01010010000000
3121102112002010022
432003021102000
5440320033342
635215553012
75561314652
oct1603112200
9542462108
10235705472
11111060012
1266b2b768
1339aa91c2
14234386d2
1515a5d9d2
hexe0c9480

235705472 has 72 divisors (see below), whose sum is σ = 499334115. Its totient is φ = 110818048.

The previous prime is 235705453. The next prime is 235705487. The reversal of 235705472 is 274507532.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

235705472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 117852736 + 117852736 = 10856^2 + 10856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10856.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3994979 + ... + 3995037.

Almost surely, 2235705472 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 235705472

235705472 is an abundant number, since it is smaller than the sum of its proper divisors (263628643).

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

235705472 is an frugal number, since it uses more digits than its factorization.

235705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 235705472 is about 15352.7024331223. The cubic root of 235705472 is about 617.7174761093.

The spelling of 235705472 in words is "two hundred thirty-five million, seven hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 128 184 236 368 472 529 736 944 1058 1357 1472 1888 2116 2714 2944 3481 3776 4232 5428 6962 7552 8464 10856 13924 16928 21712 27848 31211 33856 43424 55696 62422 67712 80063 86848 111392 124844 160126 173696 222784 249688 320252 445568 499376 640504 998752 1281008 1841449 1997504 2562016 3682898 3995008 5124032 7365796 10248064 14731592 29463184 58926368 117852736 235705472