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1200130224 = 243374671447
BaseRepresentation
bin100011110001000…
…1000100010110000
310002122020221011120
41013202020202300
54424213131344
6315030542240
741511636636
oct10742104260
93078227146
101200130224
11566495667
12295b07980
1316183b837
14b5565356
1570564219
hex478888b0

1200130224 has 80 divisors (see below), whose sum is σ = 3193152768. Its totient is φ = 388129536.

The previous prime is 1200130223. The next prime is 1200130241. The reversal of 1200130224 is 4220310021.

It is not an unprimeable number, because it can be changed into a prime (1200130223) 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 15 ways as a sum of consecutive naturals, for example, 828669 + ... + 830115.

Almost surely, 21200130224 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 1200130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596576384).

1200130224 is an abundant number, since it is smaller than the sum of its proper divisors (1993022544).

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

1200130224 is a wasteful number, since it uses less digits than its factorization.

1200130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1200130224 is about 34642.8957219226. The cubic root of 1200130224 is about 1062.6970076948.

Adding to 1200130224 its reverse (4220310021), we get a palindrome (5420440245).

The spelling of 1200130224 in words is "one billion, two hundred million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 467 592 888 934 1401 1447 1776 1868 2802 2894 3736 4341 5604 5788 7472 8682 11208 11576 17279 17364 22416 23152 34558 34728 51837 53539 69116 69456 103674 107078 138232 160617 207348 214156 276464 321234 414696 428312 642468 675749 829392 856624 1284936 1351498 2027247 2569872 2702996 4054494 5405992 8108988 10811984 16217976 25002713 32435952 50005426 75008139 100010852 150016278 200021704 300032556 400043408 600065112 1200130224