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1220131224 = 2332132814639
BaseRepresentation
bin100100010111001…
…1011100110011000
310011000220002101100
41020232123212120
54444323144344
6321023351400
742143641614
oct11056334630
93130802340
101220131224
11576806714
122a0752560
13165a22550
14b8090344
15721b5569
hex48b9b998

1220131224 has 96 divisors (see below), whose sum is σ = 3572150400. Its totient is φ = 374008320.

The previous prime is 1220131223. The next prime is 1220131267. The reversal of 1220131224 is 4221310221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1220131197 and 1220131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220131223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260697 + ... + 265335.

It is an arithmetic number, because the mean of its divisors is an integer number (37209900).

Almost surely, 21220131224 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 1220131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786075200).

1220131224 is an abundant number, since it is smaller than the sum of its proper divisors (2352019176).

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

1220131224 is a wasteful number, since it uses less digits than its factorization.

1220131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1220131224 is about 34930.3768087320. The cubic root of 1220131224 is about 1068.5680393615.

Adding to 1220131224 its reverse (4221310221), we get a palindrome (5441441445).

The spelling of 1220131224 in words is "one billion, two hundred twenty million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 281 312 468 562 843 936 1124 1686 2248 2529 3372 3653 4639 5058 6744 7306 9278 10116 10959 13917 14612 18556 20232 21918 27834 29224 32877 37112 41751 43836 55668 60307 65754 83502 87672 111336 120614 131508 167004 180921 241228 263016 334008 361842 482456 542763 723684 1085526 1303559 1447368 2171052 2607118 3910677 4342104 5214236 7821354 10428472 11732031 15642708 16946267 23464062 31285416 33892534 46928124 50838801 67785068 93856248 101677602 135570136 152516403 203355204 305032806 406710408 610065612 1220131224