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2002224200440 = 235341291466659
BaseRepresentation
bin11101001000101101110…
…111001011101011111000
321002102002110001221101011
4131020231313023223320
5230301023343403230
64131450433203304
7264440660616322
oct35105567135370
97072073057334
102002224200440
117021583aa572
12284064a00534
13116a692b9cc9
146cca002a612
15371383c9e2a
hex1d22ddcbaf8

2002224200440 has 32 divisors (see below), whose sum is σ = 4505139522000. Its totient is φ = 800865667584.

The previous prime is 2002224200419. The next prime is 2002224200443. The reversal of 2002224200440 is 440024222002.

It is a happy number.

It is a super-4 number, since 4×20022242004404 (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002224200443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631831 + ... + 2098489.

Almost surely, 22002224200440 is an apocalyptic number.

2002224200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002224200440 is an abundant number, since it is smaller than the sum of its proper divisors (2502915321560).

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

2002224200440 is a wasteful number, since it uses less digits than its factorization.

2002224200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500799 (or 1500795 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2002224200440 its reverse (440024222002), we get a palindrome (2442248422442).

The spelling of 2002224200440 in words is "two trillion, two billion, two hundred twenty-four million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 34129 68258 136516 170645 273032 341290 682580 1365160 1466659 2933318 5866636 7333295 11733272 14666590 29333180 58666360 50055605011 100111210022 200222420044 250278025055 400444840088 500556050110 1001112100220 2002224200440