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4334331220 = 2251746127653
BaseRepresentation
bin1000000100101100…
…01010010101010100
3102012001210211122221
410002112022111110
532334042044340
61554031432124
7212260131112
oct40226122524
912161724587
104334331220
11192468721a
12a0b685644
13540c7ca3b
142d1902ab2
151a57b644a
hex10258a554

4334331220 has 48 divisors (see below), whose sum is σ = 9658767888. Its totient is φ = 1628149760.

The previous prime is 4334331191. The next prime is 4334331223. The reversal of 4334331220 is 221334334.

It can be written as a sum of positive squares in 8 ways, for example, as 565107984 + 3769223236 = 23772^2 + 61394^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334331223) 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, 142914 + ... + 170566.

It is an arithmetic number, because the mean of its divisors is an integer number (201224331).

Almost surely, 24334331220 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 4334331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829383944).

4334331220 is an abundant number, since it is smaller than the sum of its proper divisors (5324436668).

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

4334331220 is a wasteful number, since it uses less digits than its factorization.

4334331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28140 (or 28138 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 4334331220 is about 65835.6379174684. The cubic root of 4334331220 is about 1630.4495504362.

Adding to 4334331220 its reverse (221334334), we get a palindrome (4555665554).

The spelling of 4334331220 in words is "four billion, three hundred thirty-four million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 922 1844 2305 4610 7837 9220 15674 27653 31348 39185 55306 78370 110612 138265 156740 276530 470101 553060 940202 1880404 2350505 4701010 9402020 12748033 25496066 50992132 63740165 127480330 216716561 254960660 433433122 866866244 1083582805 2167165610 4334331220