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242442220200 = 23352676030901
BaseRepresentation
bin1110000111001010101…
…1101011001010101000
3212011210012210212021220
43201302223223022220
512433010202021300
6303213150102040
723341641604215
oct3416253531250
9764705725256
10242442220200
1193901349444
123aba14aa920
1319b2935063b
14ba3cb7cb0c
15648e571da0
hex3872aeb2a8

242442220200 has 96 divisors (see below), whose sum is σ = 762788484960. Its totient is φ = 63686304000.

The previous prime is 242442220193. The next prime is 242442220219. The reversal of 242442220200 is 2022244242.

242442220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 2975251 + ... + 3055650.

It is an arithmetic number, because the mean of its divisors is an integer number (7945713385).

Almost surely, 2242442220200 is an apocalyptic number.

242442220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242442220200 is an abundant number, since it is smaller than the sum of its proper divisors (520346264760).

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

242442220200 is a wasteful number, since it uses less digits than its factorization.

242442220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030987 (or 6030978 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242442220200 its reverse (2022244242), we get a palindrome (244464464442).

The spelling of 242442220200 in words is "two hundred forty-two billion, four hundred forty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 6030901 12061802 18092703 24123604 30154505 36185406 48247208 60309010 72370812 90463515 120618020 144741624 150772525 180927030 241236040 301545050 361854060 404070367 452317575 603090100 723708120 808140734 904635150 1206180200 1212211101 1616281468 1809270300 2020351835 2424422202 3232562936 3618540600 4040703670 4848844404 6061055505 8081407340 9697688808 10101759175 12122111010 16162814680 20203518350 24244222020 30305277525 40407036700 48488444040 60610555050 80814073400 121221110100 242442220200