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224343430000 = 245436761129
BaseRepresentation
bin1101000011101111101…
…0010001001101110000
3210110001212202001120221
43100323322101031300
512133423404230000
6251021214142424
722131303456064
oct3207372211560
9713055661527
10224343430000
1187164021498
12375901b1a14
1318203811121
14ac03197aa4
155c806a261a
hex343be91370

224343430000 has 100 divisors (see below), whose sum is σ = 544646782240. Its totient is φ = 89491392000.

The previous prime is 224343429971. The next prime is 224343430049. The reversal of 224343430000 is 34343422.

224343430000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3639436 + ... + 3700564.

Almost surely, 2224343430000 is an apocalyptic number.

224343430000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224343430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272323391120).

224343430000 is an abundant number, since it is smaller than the sum of its proper divisors (320303352240).

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

224343430000 is an equidigital number, since it uses as much as digits as its factorization.

224343430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61524 (or 61503 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 224343430000 its reverse (34343422), we get a palindrome (224377773422).

The spelling of 224343430000 in words is "two hundred twenty-four billion, three hundred forty-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 367 400 500 625 734 1000 1250 1468 1835 2000 2500 2936 3670 5000 5872 7340 9175 10000 14680 18350 29360 36700 45875 61129 73400 91750 122258 146800 183500 229375 244516 305645 367000 458750 489032 611290 734000 917500 978064 1222580 1528225 1835000 2445160 3056450 3670000 4890320 6112900 7641125 12225800 15282250 22434343 24451600 30564500 38205625 44868686 61129000 76411250 89737372 112171715 122258000 152822500 179474744 224343430 305645000 358949488 448686860 560858575 611290000 897373720 1121717150 1794747440 2243434300 2804292875 4486868600 5608585750 8973737200 11217171500 14021464375 22434343000 28042928750 44868686000 56085857500 112171715000 224343430000