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422745404547224 = 2311217101254350879
BaseRepresentation
bin110000000011111000001010…
…1101010110010000010011000
32001102211001210002201212000202
41200013300111222302002120
5420402230042031002344
64055034320252321332
7155021230134405143
oct14007602552620230
92042731702655022
10422745404547224
11112777356a0a500
123b4b6a84773248
13151b694a1b8175
147656db591505a
1533d18a124894e
hex1807c15ab2098

422745404547224 has 96 divisors (see below), whose sum is σ = 931641490281600. Its totient is φ = 179063018112000.

The previous prime is 422745404547143. The next prime is 422745404547229.

422745404547224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4227454045472242 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422745404547224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422745404547229) 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 23 ways as a sum of consecutive naturals, for example, 125513384 + ... + 128837495.

It is an arithmetic number, because the mean of its divisors is an integer number (9704598857100).

Almost surely, 2422745404547224 is an apocalyptic number.

422745404547224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422745404547224 is an abundant number, since it is smaller than the sum of its proper divisors (508896085734376).

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

422745404547224 is a wasteful number, since it uses less digits than its factorization.

422745404547224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254351025 (or 254351010 counting only the distinct ones).

The product of its (nonzero) digits is 80281600, while the sum is 56.

The spelling of 422745404547224 in words is "four hundred twenty-two trillion, seven hundred forty-five billion, four hundred four million, five hundred forty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 101 121 136 187 202 242 374 404 484 748 808 968 1111 1496 1717 2057 2222 3434 4114 4444 6868 8228 8888 12221 13736 16456 18887 24442 37774 48884 75548 97768 151096 207757 415514 831028 1662056 254350879 508701758 1017403516 2034807032 2797859669 4323964943 5595719338 8647929886 11191438676 17295859772 22382877352 25689438779 30776456359 34591719544 47563614373 51378877558 61552912718 95127228746 102757755116 123105825436 190254457492 205515510232 246211650872 282583826569 380508914984 436720459243 523199758103 565167653138 873440918486 1046399516206 1130335306276 1746881836972 2092799032412 2260670612552 3108422092259 3493763673944 4185598064824 4803925051673 6216844184518 9607850103346 12433688369036 19215700206692 24867376738072 38431400413384 52843175568403 105686351136806 211372702273612 422745404547224