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2300312220 = 2235311236727
BaseRepresentation
bin1000100100011011…
…1111101010011100
312221022102222010220
42021012333222130
514202334442340
61020131401340
7111001221423
oct21106775234
95838388126
102300312220
11a80514688
12542453250
132a87542bb
1417b7102ba
15d6e33ed0
hex891bfa9c

2300312220 has 48 divisors (see below), whose sum is σ = 6648649728. Its totient is φ = 593628480.

The previous prime is 2300312207. The next prime is 2300312243. The reversal of 2300312220 is 222130032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2300312220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616504 + ... + 620223.

It is an arithmetic number, because the mean of its divisors is an integer number (138513536).

Almost surely, 22300312220 is an apocalyptic number.

2300312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300312220 is an abundant number, since it is smaller than the sum of its proper divisors (4348337508).

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

2300312220 is a wasteful number, since it uses less digits than its factorization.

2300312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236770 (or 1236768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2300312220 is about 47961.5702411837. The cubic root of 2300312220 is about 1320.0658484139.

Adding to 2300312220 its reverse (222130032), we get a palindrome (2522442252).

The spelling of 2300312220 in words is "two billion, three hundred million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1236727 2473454 3710181 4946908 6183635 7420362 12367270 14840724 18550905 24734540 37101810 38338537 74203620 76677074 115015611 153354148 191692685 230031222 383385370 460062444 575078055 766770740 1150156110 2300312220