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223057952 = 25131731541
BaseRepresentation
bin11010100101110…
…01100000100000
3120112201111222122
431102321200200
5424100323302
634044523412
75345650505
oct1522714040
9515644878
10223057952
11104a01817
1262850568
133729b570
14218a54ac
15148b13a2
hexd4b9820

223057952 has 48 divisors (see below), whose sum is σ = 500760792. Its totient is φ = 96890880.

The previous prime is 223057943. The next prime is 223057957. The reversal of 223057952 is 259750322.

It can be written as a sum of positive squares in 4 ways, for example, as 108910096 + 114147856 = 10436^2 + 10684^2 .

It is not an unprimeable number, because it can be changed into a prime (223057957) 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, 8699 + ... + 22842.

Almost surely, 2223057952 is an apocalyptic number.

It is an amenable number.

223057952 is an abundant number, since it is smaller than the sum of its proper divisors (277702840).

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

223057952 is a wasteful number, since it uses less digits than its factorization.

223057952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31581 (or 31573 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 223057952 is about 14935.1247734996. The cubic root of 223057952 is about 606.4652252877.

The spelling of 223057952 in words is "two hundred twenty-three million, fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 31541 63082 126164 252328 410033 504656 536197 820066 1009312 1072394 1640132 2144788 3280264 4289576 6560528 6970561 8579152 13121056 13941122 17158304 27882244 55764488 111528976 223057952