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4040002220 = 2254311034259
BaseRepresentation
bin1111000011001101…
…1000101010101100
3101102112222101011212
43300303120222230
531233220032340
61504515133552
7202054311062
oct36063305254
911375871155
104040002220
111793526511
12948ba42b8
134c4cb9277
142a47a8032
15189a27a65
hexf0cd8aac

4040002220 has 48 divisors (see below), whose sum is σ = 8691217920. Its totient is φ = 1576618176.

The previous prime is 4040002217. The next prime is 4040002223. The reversal of 4040002220 is 222000404.

It is a happy number.

4040002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4040002217) and next prime (4040002223).

It is a junction number, because it is equal to n+sod(n) for n = 4040002195 and 4040002204.

It is not an unprimeable number, because it can be changed into a prime (4040002223) 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, 946451 + ... + 950709.

It is an arithmetic number, because the mean of its divisors is an integer number (181067040).

Almost surely, 24040002220 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 4040002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345608960).

4040002220 is an abundant number, since it is smaller than the sum of its proper divisors (4651215700).

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

4040002220 is a wasteful number, since it uses less digits than its factorization.

4040002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4040002220 is about 63561.0117918209. The cubic root of 4040002220 is about 1592.6751400854.

Adding to 4040002220 its reverse (222000404), we get a palindrome (4262002624).

The spelling of 4040002220 in words is "four billion, forty million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1103 2206 4259 4412 5515 8518 11030 17036 21295 22060 42590 47429 85180 94858 183137 189716 237145 366274 474290 732548 915685 948580 1831370 3662740 4697677 9395354 18790708 23488385 46976770 93953540 202000111 404000222 808000444 1010000555 2020001110 4040002220