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241122422000 = 2453242349757
BaseRepresentation
bin1110000010010000000…
…1000010110011110000
3212001101020101011112002
43200210001002303300
512422304320001000
6302434202153132
723264144525105
oct3404401026360
9761336334462
10241122422000
1193294359529
123a8934b27a8
1319978aa3065
14b955786aac
1564137708d5
hex3824042cf0

241122422000 has 80 divisors (see below), whose sum is σ = 583286363712. Its totient is φ = 96407225600.

The previous prime is 241122421999. The next prime is 241122422063. The reversal of 241122422000 is 224221142.

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

It is a super-2 number, since 2×2411224220002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4821122 + ... + 4870878.

Almost surely, 2241122422000 is an apocalyptic number.

241122422000 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 241122422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291643181856).

241122422000 is an abundant number, since it is smaller than the sum of its proper divisors (342163941712).

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

241122422000 is a wasteful number, since it uses less digits than its factorization.

241122422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52203 (or 52187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 241122422000 its reverse (224221142), we get a palindrome (241346643142).

The spelling of 241122422000 in words is "two hundred forty-one billion, one hundred twenty-two million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2423 4846 9692 12115 19384 24230 38768 48460 49757 60575 96920 99514 121150 193840 199028 242300 248785 302875 398056 484600 497570 605750 796112 969200 995140 1211500 1243925 1990280 2423000 2487850 3980560 4846000 4975700 6219625 9951400 12439250 19902800 24878500 49757000 99514000 120561211 241122422 482244844 602806055 964489688 1205612110 1928979376 2411224220 3014030275 4822448440 6028060550 9644896880 12056121100 15070151375 24112242200 30140302750 48224484400 60280605500 120561211000 241122422000