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224300022000 = 2435337383337
BaseRepresentation
bin1101000011100101010…
…0101011100011110000
3210102221212001201000020
43100321110223203300
512133331301201000
6251013023523440
722130235505125
oct3207124534360
9712855051006
10224300022000
118714157340a
1237579759580
13181c7823312
14abdb4d874c
155c7b97aba0
hex343952b8f0

224300022000 has 80 divisors (see below), whose sum is σ = 723143290272. Its totient is φ = 59813337600.

The previous prime is 224300021977. The next prime is 224300022007. The reversal of 224300022000 is 220003422.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224300022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18685669 + ... + 18697668.

Almost surely, 2224300022000 is an apocalyptic number.

224300022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224300022000 is an abundant number, since it is smaller than the sum of its proper divisors (498843268272).

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

224300022000 is a wasteful number, since it uses less digits than its factorization.

224300022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37383363 (or 37383347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 224300022000 its reverse (220003422), we get a palindrome (224520025422).

The spelling of 224300022000 in words is "two hundred twenty-four billion, three hundred million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 37383337 74766674 112150011 149533348 186916685 224300022 299066696 373833370 448600044 560750055 598133392 747666740 897200088 934583425 1121500110 1495333480 1794400176 1869166850 2243000220 2803750275 2990666960 3738333700 4486000440 4672917125 5607500550 7476667400 8972000880 9345834250 11215001100 14018751375 14953334800 18691668500 22430002200 28037502750 37383337000 44860004400 56075005500 74766674000 112150011000 224300022000