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225570345 = 357111383181
BaseRepresentation
bin11010111000111…
…10111000101001
3120201110011100020
431130132320221
5430221222340
634214431053
75406213330
oct1534367051
9521404306
10225570345
11106368380
1263662489
133796aca0
1421d5ad17
1514c0a9d0
hexd71ee29

225570345 has 128 divisors (see below), whose sum is σ = 493129728. Its totient is φ = 85017600.

The previous prime is 225570283. The next prime is 225570347. The reversal of 225570345 is 543075522.

It is not a de Polignac number, because 225570345 - 29 = 225569833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225570347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1246155 + ... + 1246335.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2225570345 is an apocalyptic number.

It is an amenable number.

225570345 is an abundant number, since it is smaller than the sum of its proper divisors (267559383).

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

225570345 is a wasteful number, since it uses less digits than its factorization.

225570345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 225570345 is about 15018.9994673414. Note that the first 3 decimals coincide. The cubic root of 225570345 is about 608.7336849657.

The spelling of 225570345 in words is "two hundred twenty-five million, five hundred seventy thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 83 91 105 143 165 181 195 231 249 273 385 415 429 455 543 581 715 905 913 1001 1079 1155 1245 1267 1365 1743 1991 2145 2353 2715 2739 2905 3003 3237 3801 4565 5005 5395 5973 6335 6391 7059 7553 8715 9955 11765 11869 13695 13937 15015 15023 16185 16471 19005 19173 22659 25883 29865 31955 35295 35607 37765 41811 45069 49413 59345 69685 75115 77649 82355 83083 95865 105161 113295 129415 165253 178035 181181 195299 209055 225345 247065 249249 315483 388245 415415 495759 525805 543543 585897 826265 905905 976495 1156771 1246245 1367093 1577415 2148289 2478795 2717715 2929485 3470313 4101279 5783855 6444867 6835465 10741445 15038023 17351565 20506395 32224335 45114069 75190115 225570345