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2300212204224 = 263111089115627
BaseRepresentation
bin100001011110001111010…
…101001101001011000000
322010220020202001222011220
4201132033111031023000
5300141313311013344
64520411454235040
7325120255064544
oct41361725151300
98126222058156
102300212204224
11807572906280
123119684b5a80
13138ba83311bc
147d48bc6da24
153ec79106c19
hex2178f54d2c0

2300212204224 has 56 divisors (see below), whose sum is σ = 6639248868288. Its totient is φ = 697034000640.

The previous prime is 2300212204201. The next prime is 2300212204271. The reversal of 2300212204224 is 4224022120032.

It is a super-2 number, since 2×23002122042242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2300212204194 and 2300212204203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544555702 + ... + 544559925.

Almost surely, 22300212204224 is an apocalyptic number.

2300212204224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2300212204224 is an abundant number, since it is smaller than the sum of its proper divisors (4339036664064).

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

2300212204224 is a wasteful number, since it uses less digits than its factorization.

2300212204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089115653 (or 1089115643 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2300212204224 its reverse (4224022120032), we get a palindrome (6524234324256).

The spelling of 2300212204224 in words is "two trillion, three hundred billion, two hundred twelve million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 1089115627 2178231254 3267346881 4356462508 6534693762 8712925016 11980271897 13069387524 17425850032 23960543794 26138775048 34851700064 35940815691 47921087588 52277550096 69703400128 71881631382 95842175176 104555100192 143763262764 191684350352 209110200384 287526525528 383368700704 575053051056 766737401408 1150106102112 2300212204224