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4002031220 = 2251146738953
BaseRepresentation
bin1110111010001010…
…0010011001110100
3101022220112020202112
43232202202121310
531144004444340
61501041230152
7201113463335
oct35642423164
911286466675
104002031220
111774051320
12938332358
134ba183115
1429d72228c
15186527065
hexee8a2674

4002031220 has 48 divisors (see below), whose sum is σ = 9188157888. Its totient is φ = 1452130560.

The previous prime is 4002031193. The next prime is 4002031249. The reversal of 4002031220 is 221302004.

4002031220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4002031195 and 4002031204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83264 + ... + 122216.

It is an arithmetic number, because the mean of its divisors is an integer number (191419956).

Almost surely, 24002031220 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 4002031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594078944).

4002031220 is an abundant number, since it is smaller than the sum of its proper divisors (5186126668).

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

4002031220 is a wasteful number, since it uses less digits than its factorization.

4002031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39440 (or 39438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4002031220 is about 63261.6093693482. The cubic root of 4002031220 is about 1587.6697032296.

Adding to 4002031220 its reverse (221302004), we get a palindrome (4223333224).

The spelling of 4002031220 in words is "four billion, two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 467 934 1868 2335 4670 5137 9340 10274 20548 25685 38953 51370 77906 102740 155812 194765 389530 428483 779060 856966 1713932 2142415 4284830 8569660 18191051 36382102 72764204 90955255 181910510 200101561 363821020 400203122 800406244 1000507805 2001015610 4002031220