Search a number
-
+
4420220244 = 22311378910169
BaseRepresentation
bin1000001110111011…
…10011010101010100
3102102001102110020220
410013131303111110
533023034021434
62010340354340
7214352152326
oct40735632524
912361373226
104420220244
11196910a990
12a343a59b0
135559c274b
142dd09d616
151ad0ced49
hex107773554

4420220244 has 96 divisors (see below), whose sum is σ = 11686550400. Its totient is φ = 1288488960.

The previous prime is 4420220227. The next prime is 4420220251.

4420220244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429592 + ... + 439760.

It is an arithmetic number, because the mean of its divisors is an integer number (121734900).

Almost surely, 24420220244 is an apocalyptic number.

4420220244 is a gapful number since it is divisible by the number (44) 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 4420220244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843275200).

4420220244 is an abundant number, since it is smaller than the sum of its proper divisors (7266330156).

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

4420220244 is a wasteful number, since it uses less digits than its factorization.

4420220244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4420220244 is about 66484.7369251018. The cubic root of 4420220244 is about 1641.1488386029.

It can be divided in two parts, 44202 and 20244, that added together give a palindrome (64446).

The spelling of 4420220244 in words is "four billion, four hundred twenty million, two hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 89 111 132 148 178 222 267 356 407 444 534 814 979 1068 1221 1628 1958 2442 2937 3293 3916 4884 5874 6586 9879 10169 11748 13172 19758 20338 30507 36223 39516 40676 61014 72446 108669 111859 122028 144892 217338 223718 335577 376253 434676 447436 671154 752506 905041 1128759 1342308 1505012 1810082 2257518 2715123 3620164 4138783 4515036 5430246 8277566 9955451 10860492 12416349 16555132 19910902 24832698 29866353 33486517 39821804 49665396 59732706 66973034 100459551 119465412 133946068 200919102 368351687 401838204 736703374 1105055061 1473406748 2210110122 4420220244