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241056220 = 22541734027
BaseRepresentation
bin11100101111000…
…11100111011100
3121210120220222011
432113203213130
5443202244340
635530401004
75654641546
oct1627434734
9553526864
10241056220
11114085119
1268890164
133ac30822
142402c696
15162690ea
hexe5e39dc

241056220 has 48 divisors (see below), whose sum is σ = 525799008. Its totient is φ = 92759040.

The previous prime is 241056191. The next prime is 241056227. The reversal of 241056220 is 22650142.

It is a junction number, because it is equal to n+sod(n) for n = 241056191 and 241056200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241056227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57847 + ... + 61873.

It is an arithmetic number, because the mean of its divisors is an integer number (10954146).

Almost surely, 2241056220 is an apocalyptic number.

241056220 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 241056220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262899504).

241056220 is an abundant number, since it is smaller than the sum of its proper divisors (284742788).

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

241056220 is a wasteful number, since it uses less digits than its factorization.

241056220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 241056220 is about 15525.9853149486. The cubic root of 241056220 is about 622.3568118483.

The spelling of 241056220 in words is "two hundred forty-one million, fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 4027 5986 8054 11972 14965 16108 20135 29930 40270 59860 80540 165107 293971 330214 587942 660428 825535 1175884 1469855 1651070 2939710 3302140 5879420 12052811 24105622 48211244 60264055 120528110 241056220