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1223310112 = 25411974733
BaseRepresentation
bin100100011101010…
…0011101100100000
310011020212120222221
41020322203230200
510001131410422
6321215440424
742212651533
oct11072435440
93136776887
101223310112
11578587aa2
122a1826114
1316659644b
14b867aa1a
15725e23c7
hex48ea3b20

1223310112 has 48 divisors (see below), whose sum is σ = 2480180472. Its totient is φ = 593582080.

The previous prime is 1223310097. The next prime is 1223310149. The reversal of 1223310112 is 2110133221.

It can be written as a sum of positive squares in 4 ways, for example, as 912281616 + 311028496 = 30204^2 + 17636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 256098 + ... + 260830.

Almost surely, 21223310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240090236).

1223310112 is an abundant number, since it is smaller than the sum of its proper divisors (1256870360).

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

1223310112 is a wasteful number, since it uses less digits than its factorization.

1223310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1223310112 is about 34975.8504113910. The cubic root of 1223310112 is about 1069.4952380907.

Adding to 1223310112 its reverse (2110133221), we get a palindrome (3333443333).

The spelling of 1223310112 in words is "one billion, two hundred twenty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 197 328 394 656 788 1312 1576 3152 4733 6304 8077 9466 16154 18932 32308 37864 64616 75728 129232 151456 194053 258464 388106 776212 932401 1552424 1864802 3104848 3729604 6209696 7459208 14918416 29836832 38228441 76456882 152913764 305827528 611655056 1223310112