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1201223424 = 2831739041
BaseRepresentation
bin100011110011001…
…0011011100000000
310002201022110202110
41013212103130000
54430003122144
6315110215320
741524142052
oct10746233400
93081273673
101201223424
11567071a35
12296354540
13161b322bb
14b576b8d2
15706cd0b9
hex47993700

1201223424 has 72 divisors (see below), whose sum is σ = 3215841552. Its totient is φ = 398049280.

The previous prime is 1201223399. The next prime is 1201223431. The reversal of 1201223424 is 4243221021.

It is a self number, because there is not a number n which added to its sum of digits gives 1201223424.

It is a congruent number.

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, 128344 + ... + 137384.

It is an arithmetic number, because the mean of its divisors is an integer number (44664466).

Almost surely, 21201223424 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 1201223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607920776).

1201223424 is an abundant number, since it is smaller than the sum of its proper divisors (2014618128).

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

1201223424 is an equidigital number, since it uses as much as digits as its factorization.

1201223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233 (or 9219 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1201223424 is about 34658.6702572387. The cubic root of 1201223424 is about 1063.0195804125.

Adding to 1201223424 its reverse (4243221021), we get a palindrome (5444444445).

The spelling of 1201223424 in words is "one billion, two hundred one million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 2076 2768 4152 5536 8304 9041 11072 16608 18082 22144 27123 33216 36164 44288 54246 66432 72328 108492 132864 144656 216984 289312 433968 578624 867936 1157248 1564093 1735872 2314496 3128186 3471744 4692279 6256372 6943488 9384558 12512744 18769116 25025488 37538232 50050976 75076464 100101952 150152928 200203904 300305856 400407808 600611712 1201223424