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4222140412200 = 2335216974146671
BaseRepresentation
bin111101011100001011001…
…011011111000100101000
3112221122002020001212020020
4331130023023133010220
51023133420421142300
612551342522000440
7614016401233614
oct75341313370450
915848066055206
104222140412200
111388666212197
12582342346120
132481b908c719
141084d1ab2344
1574c630468a0
hex3d70b2df128

4222140412200 has 96 divisors (see below), whose sum is σ = 13096351244160. Its totient is φ = 1125240371200.

The previous prime is 4222140412129. The next prime is 4222140412201. The reversal of 4222140412200 is 22140412224.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4222140412201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055136 + ... + 3091535.

It is an arithmetic number, because the mean of its divisors is an integer number (136420325460).

Almost surely, 24222140412200 is an apocalyptic number.

4222140412200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222140412200 is an abundant number, since it is smaller than the sum of its proper divisors (8874210831960).

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

4222140412200 is a wasteful number, since it uses less digits than its factorization.

4222140412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148387 (or 4148378 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4222140412200 its sum of digits (24), we get a palindrome (4222140412224).

Adding to 4222140412200 its reverse (22140412224), we get a palindrome (4244280824424).

The spelling of 4222140412200 in words is "four trillion, two hundred twenty-two billion, one hundred forty million, four hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1697 3394 5091 6788 8485 10182 13576 16970 20364 25455 33940 40728 42425 50910 67880 84850 101820 127275 169700 203640 254550 339400 509100 1018200 4146671 8293342 12440013 16586684 20733355 24880026 33173368 41466710 49760052 62200065 82933420 99520104 103666775 124400130 165866840 207333550 248800260 311000325 414667100 497600520 622000650 829334200 1244001300 2488002600 7036900687 14073801374 21110702061 28147602748 35184503435 42221404122 56295205496 70369006870 84442808244 105553510305 140738013740 168885616488 175922517175 211107020610 281476027480 351845034350 422214041220 527767551525 703690068700 844428082440 1055535103050 1407380137400 2111070206100 4222140412200