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2002224040040 = 23577150800143
BaseRepresentation
bin11101001000101101110…
…110100100100001101000
321002102002102202210100102
4131020231312210201220
5230301023323240130
64131450425524532
7264440656350560
oct35105566444150
97072072683312
102002224040040
11702158300004
12284064943748
13116a69261cb3
146cc9ddc7da0
1537138397645
hex1d22dda4868

2002224040040 has 32 divisors (see below), whose sum is σ = 5148576103680. Its totient is φ = 686476813632.

The previous prime is 2002224040039. The next prime is 2002224040043. The reversal of 2002224040040 is 400404222002.

It is a super-2 number, since 2×20022240400402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002224039994 and 2002224040021.

It is not an unprimeable number, because it can be changed into a prime (2002224040043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3575399792 + ... + 3575400351.

It is an arithmetic number, because the mean of its divisors is an integer number (160893003240).

Almost surely, 22002224040040 is an apocalyptic number.

2002224040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002224040040 is an abundant number, since it is smaller than the sum of its proper divisors (3146352063640).

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

2002224040040 is a wasteful number, since it uses less digits than its factorization.

2002224040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150800161 (or 7150800157 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2002224040040 its reverse (400404222002), we get a palindrome (2402628262042).

The spelling of 2002224040040 in words is "two trillion, two billion, two hundred twenty-four million, forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7150800143 14301600286 28603200572 35754000715 50055601001 57206401144 71508001430 100111202002 143016002860 200222404004 250278005005 286032005720 400444808008 500556010010 1001112020020 2002224040040