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2002200144 = 24375958929
BaseRepresentation
bin111011101010111…
…0010011001010000
312011112111022020220
41313111302121100
513100030401034
6530402033040
7100421264130
oct16725623120
95145438226
102002200144
1193820a66a
1247a648780
1325ba67919
1414dcacac0
15bab99749
hex77572650

2002200144 has 40 divisors (see below), whose sum is σ = 5911258560. Its totient is φ = 572057088.

The previous prime is 2002200139. The next prime is 2002200149. The reversal of 2002200144 is 4410022002.

It is an interprime number because it is at equal distance from previous prime (2002200139) and next prime (2002200149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200149) 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, 2979129 + ... + 2979800.

It is an arithmetic number, because the mean of its divisors is an integer number (147781464).

Almost surely, 22002200144 is an apocalyptic number.

2002200144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2002200144 is an abundant number, since it is smaller than the sum of its proper divisors (3909058416).

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

2002200144 is a wasteful number, since it uses less digits than its factorization.

2002200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958947 (or 5958941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2002200144 is about 44745.9511464445. The cubic root of 2002200144 is about 1260.3828818765.

Adding to 2002200144 its reverse (4410022002), we get a palindrome (6412222146).

The spelling of 2002200144 in words is "two billion, two million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5958929 11917858 17876787 23835716 35753574 41712503 47671432 71507148 83425006 95342864 125137509 143014296 166850012 250275018 286028592 333700024 500550036 667400048 1001100072 2002200144