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225334648 = 23711735011
BaseRepresentation
bin11010110111001…
…01010101111000
3120201000012000201
431123211111320
5430141202043
634205411544
75404212220
oct1533452570
9521005021
10225334648
11106217290
1263569bb4
13378b7916
1421cd9080
1514bb0c4d
hexd6e5578

225334648 has 64 divisors (see below), whose sum is σ = 534078720. Its totient is φ = 86572800.

The previous prime is 225334639. The next prime is 225334649. The reversal of 225334648 is 846433522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225334649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42463 + ... + 47473.

It is an arithmetic number, because the mean of its divisors is an integer number (8344980).

Almost surely, 2225334648 is an apocalyptic number.

225334648 is a gapful number since it is divisible by the number (28) 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 225334648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267039360).

225334648 is an abundant number, since it is smaller than the sum of its proper divisors (308744072).

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

225334648 is a wasteful number, since it uses less digits than its factorization.

225334648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5104 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 225334648 is about 15011.1507886637. The cubic root of 225334648 is about 608.5215904415.

The spelling of 225334648 in words is "two hundred twenty-five million, three hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 292 308 511 584 616 803 1022 1606 2044 3212 4088 5011 5621 6424 10022 11242 20044 22484 35077 40088 44968 55121 70154 110242 140308 220484 280616 365803 385847 440968 731606 771694 1463212 1543388 2560621 2926424 3086776 4023833 5121242 8047666 10242484 16095332 20484968 28166831 32190664 56333662 112667324 225334648