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2240004312 = 23327132911789
BaseRepresentation
bin1000010110000011…
…1100000011011000
312210002222000020200
42011200330003120
514041420114222
61010135022200
7106336502550
oct20540740330
95702860220
102240004312
11a4a473437
1252620a960
132990ca150
141736d2160
15d19beeac
hex8583c0d8

2240004312 has 192 divisors, whose sum is σ = 7724808000. Its totient is φ = 570350592.

The previous prime is 2240004281. The next prime is 2240004313. The reversal of 2240004312 is 2134000422.

It is a Harshad number since it is a multiple of its sum of digits (18).

2240004312 is a modest number, since divided by 4312 gives 2240 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240004313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184114 + ... + 195902.

It is an arithmetic number, because the mean of its divisors is an integer number (40233375).

Almost surely, 22240004312 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 2240004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862404000).

2240004312 is an abundant number, since it is smaller than the sum of its proper divisors (5484803688).

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

2240004312 is a wasteful number, since it uses less digits than its factorization.

2240004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11850 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240004312 is about 47328.6838185893. The cubic root of 2240004312 is about 1308.4273636486.

Adding to 2240004312 its reverse (2134000422), we get a palindrome (4374004734).

The spelling of 2240004312 in words is "two billion, two hundred forty million, four thousand, three hundred twelve".