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223626980 = 22511181349
BaseRepresentation
bin11010101010001…
…00011011100100
3120120210102112202
431111010123210
5424222030410
634105034032
75353540463
oct1525043344
9516712482
10223626980
11105260295
1262a85918
133743a575
14219b29da
1514974ca5
hexd5446e4

223626980 has 12 divisors (see below), whose sum is σ = 469616700. Its totient is φ = 89450784.

The previous prime is 223626971. The next prime is 223626989. The reversal of 223626980 is 89626322.

It is an interprime number because it is at equal distance from previous prime (223626971) and next prime (223626989).

It can be written as a sum of positive squares in 2 ways, for example, as 154803364 + 68823616 = 12442^2 + 8296^2 .

It is not an unprimeable number, because it can be changed into a prime (223626989) 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 3 ways as a sum of consecutive naturals, for example, 5590655 + ... + 5590694.

It is an arithmetic number, because the mean of its divisors is an integer number (39134725).

Almost surely, 2223626980 is an apocalyptic number.

223626980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223626980 is an abundant number, since it is smaller than the sum of its proper divisors (245989720).

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

223626980 is a wasteful number, since it uses less digits than its factorization.

223626980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11181358 (or 11181356 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 223626980 is about 14954.1626311873. The cubic root of 223626980 is about 606.9804914719.

The spelling of 223626980 in words is "two hundred twenty-three million, six hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 11181349 22362698 44725396 55906745 111813490 223626980