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223424680 = 23553105389
BaseRepresentation
bin11010101000100…
…11000010101000
3120120102011001011
431110103002220
5424144042210
634100433304
75352035623
oct1524230250
9516364034
10223424680
111051322a6
12629a8834
133739946b
142195cdba
1514934d8a
hexd5130a8

223424680 has 32 divisors (see below), whose sum is σ = 512195400. Its totient is φ = 87682816.

The previous prime is 223424653. The next prime is 223424687. The reversal of 223424680 is 86424322.

It can be written as a sum of positive squares in 4 ways, for example, as 216737284 + 6687396 = 14722^2 + 2586^2 .

It is not an unprimeable number, because it can be changed into a prime (223424687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50575 + ... + 54814.

Almost surely, 2223424680 is an apocalyptic number.

223424680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223424680 is an abundant number, since it is smaller than the sum of its proper divisors (288770720).

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

223424680 is a wasteful number, since it uses less digits than its factorization.

223424680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105453 (or 105449 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 223424680 is about 14947.3970978228. The cubic root of 223424680 is about 606.7974050374.

The spelling of 223424680 in words is "two hundred twenty-three million, four hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 105389 210778 421556 526945 843112 1053890 2107780 4215560 5585617 11171234 22342468 27928085 44684936 55856170 111712340 223424680