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225251532 = 2232111513767
BaseRepresentation
bin11010110110100…
…01000011001100
3120200211222000100
431123101003030
5430131022112
634203531100
75403415002
oct1533210314
9520758010
10225251532
1110616a8a0
1263529a90
1337888b3c
1421cb6a72
1514b962dc
hexd6d10cc

225251532 has 72 divisors (see below), whose sum is σ = 625427712. Its totient is φ = 67788000.

The previous prime is 225251531. The next prime is 225251539. The reversal of 225251532 is 235152522.

It is a junction number, because it is equal to n+sod(n) for n = 225251496 and 225251505.

It is not an unprimeable number, because it can be changed into a prime (225251531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57913 + ... + 61679.

It is an arithmetic number, because the mean of its divisors is an integer number (8686496).

Almost surely, 2225251532 is an apocalyptic number.

225251532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225251532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312713856).

225251532 is an abundant number, since it is smaller than the sum of its proper divisors (400176180).

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

225251532 is a wasteful number, since it uses less digits than its factorization.

225251532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3934 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 225251532 is about 15008.3820580368. The cubic root of 225251532 is about 608.4467623271.

The spelling of 225251532 in words is "two hundred twenty-five million, two hundred fifty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 453 604 906 1359 1661 1812 2718 3322 3767 4983 5436 6644 7534 9966 11301 14949 15068 19932 22602 29898 33903 41437 45204 59796 67806 82874 124311 135612 165748 248622 372933 497244 568817 745866 1137634 1491732 1706451 2275268 3412902 5119353 6256987 6825804 10238706 12513974 18770961 20477412 25027948 37541922 56312883 75083844 112625766 225251532