Search a number
-
+
4202184220 = 2251349132917
BaseRepresentation
bin1111101001111000…
…0011111000011100
3101211212011002001121
43322132003320130
532101224343340
61532551220324
7206063655643
oct37236037034
911755132047
104202184220
111867029223
129933776a4
1351c791c50
142bc14435a
15198db194a
hexfa783e1c

4202184220 has 48 divisors (see below), whose sum is σ = 9523045728. Its totient is φ = 1548368640.

The previous prime is 4202184197. The next prime is 4202184221. The reversal of 4202184220 is 224812024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202184221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111202 + ... + 144118.

It is an arithmetic number, because the mean of its divisors is an integer number (198396786).

Almost surely, 24202184220 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 4202184220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761522864).

4202184220 is an abundant number, since it is smaller than the sum of its proper divisors (5320861508).

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

4202184220 is a wasteful number, since it uses less digits than its factorization.

4202184220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33430 (or 33428 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 4202184220 is about 64824.2564168691. The cubic root of 4202184220 is about 1613.7082866905.

Adding to 4202184220 its reverse (224812024), we get a palindrome (4426996244).

The spelling of 4202184220 in words is "four billion, two hundred two million, one hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 491 982 1964 2455 4910 6383 9820 12766 25532 31915 32917 63830 65834 127660 131668 164585 329170 427921 658340 855842 1711684 2139605 4279210 8558420 16162247 32324494 64648988 80811235 161622470 210109211 323244940 420218422 840436844 1050546055 2101092110 4202184220