Search a number
-
+
2240004008 = 231154147051
BaseRepresentation
bin1000010110000011…
…1011111110101000
312210002221222211102
42011200323332220
514041420112013
61010135020532
7106336501634
oct20540737650
95702858742
102240004008
11a4a473190
1252620a748
132990c9c78
141736d1dc4
15d19bed58
hex8583bfa8

2240004008 has 32 divisors (see below), whose sum is σ = 4590393120. Its totient is φ = 1016280000.

The previous prime is 2240004007. The next prime is 2240004023. The reversal of 2240004008 is 8004000422.

2240004008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2240004001) 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, 24083 + ... + 71133.

It is an arithmetic number, because the mean of its divisors is an integer number (143449785).

Almost surely, 22240004008 is an apocalyptic number.

It is an amenable number.

2240004008 is an abundant number, since it is smaller than the sum of its proper divisors (2350389112).

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

2240004008 is a wasteful number, since it uses less digits than its factorization.

2240004008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47609 (or 47605 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2240004008 is about 47328.6806070061. The cubic root of 2240004008 is about 1308.4273044579.

The spelling of 2240004008 in words is "two billion, two hundred forty million, four thousand, eight".

Divisors: 1 2 4 8 11 22 44 88 541 1082 2164 4328 5951 11902 23804 47051 47608 94102 188204 376408 517561 1035122 2070244 4140488 25454591 50909182 101818364 203636728 280000501 560001002 1120002004 2240004008