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1244144220 = 22351113211427
BaseRepresentation
bin100101000101000…
…0010001001011100
310012201002002000120
41022022002021130
510022000103340
6323242154540
742555023424
oct11212021134
93181062016
101244144220
11589317a70
122a87b2a50
1316a9ac417
14bb341484
157435a4d0
hex4a28225c

1244144220 has 96 divisors (see below), whose sum is σ = 3805837056. Its totient is φ = 301171200.

The previous prime is 1244144179. The next prime is 1244144287. The reversal of 1244144220 is 224414421.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 871147 + ... + 872573.

It is an arithmetic number, because the mean of its divisors is an integer number (39644136).

Almost surely, 21244144220 is an apocalyptic number.

1244144220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902918528).

1244144220 is an abundant number, since it is smaller than the sum of its proper divisors (2561692836).

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

1244144220 is a wasteful number, since it uses less digits than its factorization.

1244144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1244144220 is about 35272.4286093260. The cubic root of 1244144220 is about 1075.5325920501.

Adding to 1244144220 its reverse (224414421), we get a palindrome (1468558641).

The spelling of 1244144220 in words is "one billion, two hundred forty-four million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1321 1427 2642 2854 3963 4281 5284 5708 6605 7135 7926 8562 13210 14270 14531 15697 15852 17124 19815 21405 26420 28540 29062 31394 39630 42810 43593 47091 58124 62788 72655 78485 79260 85620 87186 94182 145310 156970 174372 188364 217965 235455 290620 313940 435930 470910 871860 941820 1885067 3770134 5655201 7540268 9425335 11310402 18850670 20735737 22620804 28276005 37701340 41471474 56552010 62207211 82942948 103678685 113104020 124414422 207357370 248828844 311036055 414714740 622072110 1244144220