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422401343200 = 2552598949181
BaseRepresentation
bin1100010010110010001…
…01001111111011100000
31111101021212122111211121
412021121011033323200
523410034220440300
6522014250422024
742342333114334
oct6113105177340
91441255574747
10422401343200
11153159601081
1269a45431914
1330aa86820c5
14166313777c4
15aec33a381a
hex625914fee0

422401343200 has 72 divisors (see below), whose sum is σ = 1048665146760. Its totient is φ = 166096780800.

The previous prime is 422401343197. The next prime is 422401343209. The reversal of 422401343200 is 2343104224.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422401343209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4427391 + ... + 4521790.

It is an arithmetic number, because the mean of its divisors is an integer number (14564793705).

Almost surely, 2422401343200 is an apocalyptic number.

422401343200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422401343200 is an abundant number, since it is smaller than the sum of its proper divisors (626263803560).

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

422401343200 is a wasteful number, since it uses less digits than its factorization.

422401343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8949260 (or 8949247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 422401343200 its reverse (2343104224), we get a palindrome (424744447424).

The spelling of 422401343200 in words is "four hundred twenty-two billion, four hundred one million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 400 472 590 800 944 1180 1475 1888 2360 2950 4720 5900 9440 11800 23600 47200 8949181 17898362 35796724 44745905 71593448 89491810 143186896 178983620 223729525 286373792 357967240 447459050 528001679 715934480 894918100 1056003358 1431868960 1789836200 2112006716 2640008395 3579672400 4224013432 5280016790 7159344800 8448026864 10560033580 13200041975 16896053728 21120067160 26400083950 42240134320 52800167900 84480268640 105600335800 211200671600 422401343200