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2005550442 = 23673747113
BaseRepresentation
bin111011110001010…
…0100010101101010
312011202210112000000
41313202210111222
513101410103232
6531001523430
7100461616560
oct16742442552
95152715000
102005550442
1193a098805
1247b7a3576
1325c66b84c
14150501a30
15bb10c27c
hex778a456a

2005550442 has 224 divisors, whose sum is σ = 5454577152. Its totient is φ = 540836352.

The previous prime is 2005550431. The next prime is 2005550447. The reversal of 2005550442 is 2440555002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2005550447) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17748178 + ... + 17748290.

Almost surely, 22005550442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005550442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727288576).

2005550442 is an abundant number, since it is smaller than the sum of its proper divisors (3449026710).

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

2005550442 is a wasteful number, since it uses less digits than its factorization.

2005550442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2005550442 is about 44783.3723830620. The cubic root of 2005550442 is about 1261.0854931478.

The spelling of 2005550442 in words is "two billion, five million, five hundred fifty thousand, four hundred forty-two".