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256452220 = 225291393181
BaseRepresentation
bin11110100100100…
…10011001111100
3122212120010022101
433102102121330
51011122432340
641240354444
76232544053
oct1722223174
9585503271
10256452220
11121840392
1271a75a24
134119149b
14260b939a
15177aac9a
hexf49267c

256452220 has 48 divisors (see below), whose sum is σ = 561304800. Its totient is φ = 98300160.

The previous prime is 256452179. The next prime is 256452221. The reversal of 256452220 is 22254652.

It is a super-2 number, since 2×2564522202 = 131535482285856800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256452221) 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, 79030 + ... + 82210.

It is an arithmetic number, because the mean of its divisors is an integer number (11693850).

Almost surely, 2256452220 is an apocalyptic number.

256452220 is a gapful number since it is divisible by the number (20) 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 256452220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280652400).

256452220 is an abundant number, since it is smaller than the sum of its proper divisors (304852580).

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

256452220 is a wasteful number, since it uses less digits than its factorization.

256452220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 256452220 is about 16014.1256395721. The cubic root of 256452220 is about 635.3340834045.

The spelling of 256452220 in words is "two hundred fifty-six million, four hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 139 145 278 290 556 580 695 1390 2780 3181 4031 6362 8062 12724 15905 16124 20155 31810 40310 63620 80620 92249 184498 368996 442159 461245 884318 922490 1768636 1844980 2210795 4421590 8843180 12822611 25645222 51290444 64113055 128226110 256452220