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422710440 = 233517353587
BaseRepresentation
bin11001001100100…
…000110010101000
31002110101220201020
4121030200302220
51331203213230
6105540052440
713321656645
oct3114406250
91073356636
10422710440
111a7677679
12b9694120
1369763629
14401d6dcc
152719c810
hex19320ca8

422710440 has 128 divisors (see below), whose sum is σ = 1348824960. Its totient is φ = 105611264.

The previous prime is 422710417. The next prime is 422710447. The reversal of 422710440 is 44017224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 422710440.

It is not an unprimeable number, because it can be changed into a prime (422710447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719827 + ... + 720413.

It is an arithmetic number, because the mean of its divisors is an integer number (10537695).

Almost surely, 2422710440 is an apocalyptic number.

422710440 is a gapful number since it is divisible by the number (40) 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 422710440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674412480).

422710440 is an abundant number, since it is smaller than the sum of its proper divisors (926114520).

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

422710440 is a wasteful number, since it uses less digits than its factorization.

422710440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 422710440 is about 20559.9231516074. The cubic root of 422710440 is about 750.4947491149.

Adding to 422710440 its reverse (44017224), we get a palindrome (466727664).

The spelling of 422710440 in words is "four hundred twenty-two million, seven hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 353 408 510 587 680 706 1020 1059 1174 1412 1761 1765 2040 2118 2348 2824 2935 3522 3530 4236 4696 5295 5870 6001 7044 7060 8472 8805 9979 10590 11740 12002 14088 14120 17610 18003 19958 21180 23480 24004 29937 30005 35220 36006 39916 42360 48008 49895 59874 60010 70440 72012 79832 90015 99790 119748 120020 144024 149685 180030 199580 207211 239496 240040 299370 360060 399160 414422 598740 621633 720120 828844 1036055 1197480 1243266 1657688 2072110 2486532 3108165 3522587 4144220 4973064 6216330 7045174 8288440 10567761 12432660 14090348 17612935 21135522 24865320 28180696 35225870 42271044 52838805 70451740 84542088 105677610 140903480 211355220 422710440