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225712674 = 232112313343
BaseRepresentation
bin11010111010000…
…01101000100010
3120201201101120200
431131001220202
5430240301144
634221450030
75410345305
oct1535015042
9521641520
10225712674
11106455300
1263710916
13379ba9c5
1421d96b3c
1514c37c69
hexd741a22

225712674 has 72 divisors (see below), whose sum is σ = 555050496. Its totient is φ = 66171600.

The previous prime is 225712661. The next prime is 225712681. The reversal of 225712674 is 476217522.

It is a happy number.

225712674 is a `hidden beast` number, since 22 + 571 + 2 + 67 + 4 = 666.

It is a super-2 number, since 2×2257126742 = 101892422408460552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65847 + ... + 69189.

Almost surely, 2225712674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225712674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277525248).

225712674 is an abundant number, since it is smaller than the sum of its proper divisors (329337822).

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

225712674 is a wasteful number, since it uses less digits than its factorization.

225712674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3390 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 225712674 is about 15023.7370184651. The cubic root of 225712674 is about 608.8616897357.

The spelling of 225712674 in words is "two hundred twenty-five million, seven hundred twelve thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 186 198 242 279 341 363 558 682 726 1023 1089 2046 2178 3069 3343 3751 6138 6686 7502 10029 11253 20058 22506 30087 33759 36773 60174 67518 73546 103633 110319 207266 220638 310899 330957 404503 621798 661914 809006 932697 1139963 1213509 1865394 2279926 2427018 3419889 3640527 6839778 7281054 10259667 12539593 20519334 25079186 37618779 75237558 112856337 225712674