Search a number
-
+
4202044220 = 2251189317677
BaseRepresentation
bin1111101001110110…
…0001101100111100
3101211211212222000102
43322131201230330
532101210403340
61532544220232
7206062533533
oct37235415474
911754788012
104202044220
111866a43020
1299330a678
1351c7432ca
142bc10931a
15198d85215
hexfa761b3c

4202044220 has 96 divisors (see below), whose sum is σ = 9779797440. Its totient is φ = 1503856640.

The previous prime is 4202044219. The next prime is 4202044247. The reversal of 4202044220 is 224402024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4202044192 and 4202044201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6206522 + ... + 6207198.

It is an arithmetic number, because the mean of its divisors is an integer number (101872890).

Almost surely, 24202044220 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 4202044220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889898720).

4202044220 is an abundant number, since it is smaller than the sum of its proper divisors (5577753220).

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

4202044220 is a wasteful number, since it uses less digits than its factorization.

4202044220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4202044220 is about 64823.1765651761. The cubic root of 4202044220 is about 1613.6903657191.

Adding to 4202044220 its reverse (224402024), we get a palindrome (4426446244).

It can be divided in two parts, 420204 and 4220, that added together give a palindrome (424424).

The spelling of 4202044220 in words is "four billion, two hundred two million, forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 317 356 445 634 677 890 979 1268 1354 1585 1780 1958 2708 3170 3385 3487 3916 4895 6340 6770 6974 7447 9790 13540 13948 14894 17435 19580 28213 29788 34870 37235 56426 60253 69740 74470 112852 120506 141065 148940 214609 241012 282130 301265 310343 429218 564260 602530 620686 662783 858436 1073045 1205060 1241372 1325566 1551715 2146090 2360699 2651132 3103430 3313915 4292180 4721398 6206860 6627830 9442796 11803495 13255660 19100201 23606990 38200402 47213980 76400804 95501005 191002010 210102211 382004020 420204422 840408844 1050511055 2101022110 4202044220