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2200014032 = 24236838753
BaseRepresentation
bin1000001100100001…
…1000110011010000
312200022201021220012
42003020120303100
514001200422112
61002145534052
7105342545036
oct20310306320
95608637805
102200014032
11a2993a117
12514944328
13290a37b68
1416c282556
15cd221022
hex83218cd0

2200014032 has 40 divisors (see below), whose sum is σ = 4454875584. Its totient is φ = 1050520064.

The previous prime is 2200014001. The next prime is 2200014059. The reversal of 2200014032 is 2304100022.

It is a junction number, because it is equal to n+sod(n) for n = 2200013998 and 2200014016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246968 + ... + 255720.

Almost surely, 22200014032 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 2200014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227437792).

2200014032 is an abundant number, since it is smaller than the sum of its proper divisors (2254861552).

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

2200014032 is a wasteful number, since it uses less digits than its factorization.

2200014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2200014032 is about 46904.3071796184. The cubic root of 2200014032 is about 1300.5942119817.

Adding to 2200014032 its reverse (2304100022), we get a palindrome (4504114054).

The spelling of 2200014032 in words is "two billion, two hundred million, fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 683 1366 2732 5464 8753 10928 15709 17506 31418 35012 62836 70024 125672 140048 201319 251344 402638 805276 1610552 3221104 5978299 11956598 23913196 47826392 95652784 137500877 275001754 550003508 1100007016 2200014032