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4004114022 = 232239799709
BaseRepresentation
bin1110111010101001…
…1110111001100110
3101100001110001211100
43232222132321212
531200023122042
61501154020530
7201140256546
oct35652367146
911301401740
104004114022
111775244147
12938b77746
134ba73214c
1429db05326
151867d924c
hexeea9ee66

4004114022 has 48 divisors (see below), whose sum is σ = 9146198880. Its totient is φ = 1263499776.

The previous prime is 4004113991. The next prime is 4004114041. The reversal of 4004114022 is 2204114004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4004113986 and 4004114004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9697 + ... + 90012.

It is an arithmetic number, because the mean of its divisors is an integer number (190545810).

Almost surely, 24004114022 is an apocalyptic number.

4004114022 is an abundant number, since it is smaller than the sum of its proper divisors (5142084858).

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

4004114022 is a wasteful number, since it uses less digits than its factorization.

4004114022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99837 (or 99834 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4004114022 is about 63278.0690444960. The cubic root of 4004114022 is about 1587.9450824023.

Subtracting from 4004114022 its sum of digits (18), we obtain a palindrome (4004114004).

Adding to 4004114022 its reverse (2204114004), we get a palindrome (6208228026).

The spelling of 4004114022 in words is "four billion, four million, one hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 194 207 291 414 582 873 1746 2231 4462 6693 13386 20079 40158 99709 199418 299127 598254 897381 1794762 2293307 4586614 6879921 9671773 13759842 19343546 20639763 29015319 41279526 58030638 87045957 174091914 222450779 444901558 667352337 1334704674 2002057011 4004114022