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225212532 = 223174783283
BaseRepresentation
bin11010110110001…
…11100001110100
3120200202222111220
431123013201310
5430123300112
634203030340
75403163206
oct1533074164
9520688456
10225212532
11106143566
126350b3b0
133787416c
1421ca6776
1514b8998c
hexd6c7874

225212532 has 96 divisors (see below), whose sum is σ = 577124352. Its totient is φ = 68077056.

The previous prime is 225212531. The next prime is 225212557. The reversal of 225212532 is 235212522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225212531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795663 + ... + 795945.

It is an arithmetic number, because the mean of its divisors is an integer number (6011712).

Almost surely, 2225212532 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 225212532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288562176).

225212532 is an abundant number, since it is smaller than the sum of its proper divisors (351911820).

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

225212532 is a wasteful number, since it uses less digits than its factorization.

225212532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 225212532 is about 15007.0827278322. The cubic root of 225212532 is about 608.4116448547.

The spelling of 225212532 in words is "two hundred twenty-five million, two hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 83 94 102 141 166 188 204 249 282 283 332 498 564 566 799 849 996 1132 1411 1598 1698 2397 2822 3196 3396 3901 4233 4794 4811 5644 7802 8466 9588 9622 11703 13301 14433 15604 16932 19244 23406 23489 26602 28866 39903 46812 46978 53204 57732 66317 70467 79806 93956 132634 140934 159612 198951 226117 265268 281868 397902 399313 452234 678351 795804 798626 904468 1103983 1197939 1356702 1597252 2207966 2395878 2713404 3311949 4415932 4791756 6623898 13247796 18767711 37535422 56303133 75070844 112606266 225212532