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2200075146 = 2323119919813
BaseRepresentation
bin1000001100100010…
…0111101110001010
312200022211101201200
42003020213232022
514001204401041
61002151125030
7105343221153
oct20310475612
95608741650
102200075146
11a29981025
12514973776
13290a59919
1416c29a92a
15cd2341b6
hex83227b8a

2200075146 has 48 divisors (see below), whose sum is σ = 4945574400. Its totient is φ = 706099680.

The previous prime is 2200075133. The next prime is 2200075183. The reversal of 2200075146 is 6415700022.

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, 101136 + ... + 120948.

It is an arithmetic number, because the mean of its divisors is an integer number (103032800).

Almost surely, 22200075146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200075146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472787200).

2200075146 is an abundant number, since it is smaller than the sum of its proper divisors (2745499254).

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

2200075146 is a wasteful number, since it uses less digits than its factorization.

2200075146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20051 (or 20048 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2200075146 is about 46904.9586504455. The cubic root of 2200075146 is about 1300.6062549017.

Adding to 2200075146 its reverse (6415700022), we get a palindrome (8615775168).

The spelling of 2200075146 in words is "two billion, two hundred million, seventy-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 199 279 398 558 597 1194 1791 3582 6169 12338 18507 19813 37014 39626 55521 59439 111042 118878 178317 356634 614203 1228406 1842609 3685218 3942787 5527827 7885574 11055654 11828361 23656722 35485083 70970166 122226397 244452794 366679191 733358382 1100037573 2200075146