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225711856 = 24171674969
BaseRepresentation
bin11010111010000…
…01011011110000
3120201201100110101
431131001123300
5430240234411
634221442144
75410343026
oct1535013360
9521640411
10225711856
11106454727
1263710354
13379ba516
1421d96716
1514c378c1
hexd7416f0

225711856 has 40 divisors (see below), whose sum is σ = 465907680. Its totient is φ = 105560064.

The previous prime is 225711833. The next prime is 225711881. The reversal of 225711856 is 658117522.

225711856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2257118563 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42940 + ... + 47908.

It is an arithmetic number, because the mean of its divisors is an integer number (11647692).

Almost surely, 2225711856 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 225711856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232953840).

225711856 is an abundant number, since it is smaller than the sum of its proper divisors (240195824).

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

225711856 is a wasteful number, since it uses less digits than its factorization.

225711856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5155 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The square root of 225711856 is about 15023.7097948543. The cubic root of 225711856 is about 608.8609542144.

The spelling of 225711856 in words is "two hundred twenty-five million, seven hundred eleven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1336 2672 2839 4969 5678 9938 11356 19876 22712 39752 45424 79504 84473 168946 337892 675784 829823 1351568 1659646 3319292 6638584 13277168 14106991 28213982 56427964 112855928 225711856