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4233454225 = 5272112134
BaseRepresentation
bin1111110001010101…
…0110001010010001
3101221000222202102221
43330111112022101
532132231013400
61540025341041
7206623524100
oct37425261221
911830882387
104233454225
111882746900
129a1937781
135260c0000
142c2364037
1519b9dbc1a
hexfc556291

4233454225 has 135 divisors (see below), whose sum is σ = 7271475351. Its totient is φ = 2436033600.

The previous prime is 4233454219. The next prime is 4233454231. The reversal of 4233454225 is 5224543324.

The square root of 4233454225 is 65065.

It is a perfect power (a square), and thus also a powerful number.

4233454225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4233454219) and next prime (4233454231).

It can be written as a sum of positive squares in 7 ways, for example, as 4153673601 + 79780624 = 64449^2 + 8932^2 .

It is not a de Polignac number, because 4233454225 - 27 = 4233454097 is a prime.

Its product of digits (115200) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 325650319 + ... + 325650331.

Almost surely, 24233454225 is an apocalyptic number.

4233454225 is the 65065-th square number.

4233454225 is the 32533-rd centered octagonal number.

It is an amenable number.

4233454225 is a deficient number, since it is larger than the sum of its proper divisors (3038021126).

4233454225 is an equidigital number, since it uses as much as digits as its factorization.

4233454225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its digits is 115200, while the sum is 34.

The cubic root of 4233454225 is about 1617.7011320748.

Adding to 4233454225 its reverse (5224543324), we get a palindrome (9457997549).

The spelling of 4233454225 in words is "four billion, two hundred thirty-three million, four hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 49 55 65 77 91 121 143 169 175 245 275 325 385 455 539 605 637 715 845 847 1001 1183 1225 1573 1859 1925 2197 2275 2695 3025 3185 3575 4225 4235 5005 5915 5929 7007 7865 8281 9295 10985 11011 13013 13475 15379 15925 20449 21175 24167 25025 28561 29575 29645 35035 39325 41405 46475 54925 55055 65065 76895 77077 91091 102245 107653 120835 142805 143143 148225 169169 175175 199927 207025 265837 275275 314171 325325 384475 385385 455455 511225 538265 604175 714025 715715 845845 999635 1002001 1184183 1329185 1399489 1570855 1860859 1926925 2199197 2277275 2691325 3455881 3578575 4229225 4998175 5010005 5920915 6645925 6997445 7854275 9304295 10995985 13026013 15394379 17279405 24191167 25050025 29604575 34987225 46521475 54979925 65130065 76971895 86397025 120955835 169338169 325650325 384859475 604779175 846690845 4233454225