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2400302214020 = 225220375446073
BaseRepresentation
bin100010111011011101001…
…010010010101110000100
322111110121012002021122202
4202323131022102232010
5303311304331322040
65034403354414032
7335262504116354
oct42733512225604
98443535067582
102400302214020
11845a6502a037
12329240431318
13145469697179
1484264c40b64
15426861c1015
hex22edd292b84

2400302214020 has 24 divisors (see below), whose sum is σ = 5040864310104. Its totient is φ = 960077140736.

The previous prime is 2400302214001. The next prime is 2400302214041. The reversal of 2400302214020 is 204122030042.

It can be written as a sum of positive squares in 4 ways, for example, as 157232868676 + 2243069345344 = 396526^2 + 1497688^2 .

It is a super-2 number, since 2×24003022140202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400302213983 and 2400302214001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2282297 + ... + 3163776.

It is an arithmetic number, because the mean of its divisors is an integer number (210036012921).

Almost surely, 22400302214020 is an apocalyptic number.

2400302214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400302214020 is an abundant number, since it is smaller than the sum of its proper divisors (2640562096084).

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

2400302214020 is a wasteful number, since it uses less digits than its factorization.

2400302214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468119 (or 5468117 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2400302214020 its reverse (204122030042), we get a palindrome (2604424244062).

The spelling of 2400302214020 in words is "two trillion, four hundred billion, three hundred two million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 22037 44074 88148 110185 220370 440740 5446073 10892146 21784292 27230365 54460730 108921460 120015110701 240030221402 480060442804 600075553505 1200151107010 2400302214020