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225709332 = 223671312143
BaseRepresentation
bin11010111010000…
…00110100010100
3120201201012222220
431131000310110
5430240144312
634221422340
75410332462
oct1535006424
9521635886
10225709332
11106452842
126370a9b0
13379b9324
1421d95832
1514c36c8c
hexd740d14

225709332 has 48 divisors (see below), whose sum is σ = 538847232. Its totient is φ = 73513440.

The previous prime is 225709313. The next prime is 225709381. The reversal of 225709332 is 233907522.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225709293 and 225709302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104253 + ... + 106395.

It is an arithmetic number, because the mean of its divisors is an integer number (11225984).

Almost surely, 2225709332 is an apocalyptic number.

It is an amenable number.

225709332 is an abundant number, since it is smaller than the sum of its proper divisors (313137900).

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

225709332 is a wasteful number, since it uses less digits than its factorization.

225709332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 225709332 is about 15023.6257940618. The cubic root of 225709332 is about 608.8586846973.

The spelling of 225709332 in words is "two hundred twenty-five million, seven hundred nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 67 131 134 201 262 268 393 402 524 786 804 1572 2143 4286 6429 8572 8777 12858 17554 25716 26331 35108 52662 105324 143581 280733 287162 430743 561466 574324 842199 861486 1122932 1684398 1722972 3368796 18809111 37618222 56427333 75236444 112854666 225709332