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2240455001 = 232926912487
BaseRepresentation
bin1000010110001010…
…1010000101011001
312210010210220110212
42011202222011121
514042024030001
61010152420505
7106343360531
oct20542520531
95703726425
102240455001
11a4a751004
125263a7735
13299227325
141737ac4c1
15d1a5d7bb
hex858aa159

2240455001 has 16 divisors (see below), whose sum is σ = 2427667200. Its totient is φ = 2061288768.

The previous prime is 2240454989. The next prime is 2240455003. The reversal of 2240455001 is 1005540422.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2240455001 - 210 = 2240453977 is a prime.

It is a super-3 number, since 3×22404550013 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240455003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173180 + ... + 185666.

It is an arithmetic number, because the mean of its divisors is an integer number (151729200).

Almost surely, 22240455001 is an apocalyptic number.

It is an amenable number.

2240455001 is a deficient number, since it is larger than the sum of its proper divisors (187212199).

2240455001 is a wasteful number, since it uses less digits than its factorization.

2240455001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808.

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2240455001 is about 47333.4448461128. Note that the first 3 decimals coincide. The cubic root of 2240455001 is about 1308.5151096517.

Adding to 2240455001 its reverse (1005540422), we get a palindrome (3245995423).

The spelling of 2240455001 in words is "two billion, two hundred forty million, four hundred fifty-five thousand, one".

Divisors: 1 23 29 269 667 6187 7801 12487 179423 287201 362123 3359003 8328829 77257069 97411087 2240455001