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422020440 = 233251172279
BaseRepresentation
bin11001001001111…
…000010101011000
31002102002212012200
4121021320111120
51331014123230
6105513210200
713313054202
oct3111702530
91072085180
10422020440
111a7246226
12b9400960
136958154a
1440097772
15270b3160
hex19278558

422020440 has 48 divisors (see below), whose sum is σ = 1371567600. Its totient is φ = 112538688.

The previous prime is 422020439. The next prime is 422020477. The reversal of 422020440 is 44020224.

422020440 is a `hidden beast` number, since 4 + 220 + 2 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585780 + ... + 586499.

It is an arithmetic number, because the mean of its divisors is an integer number (28574325).

Almost surely, 2422020440 is an apocalyptic number.

422020440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422020440 is an abundant number, since it is smaller than the sum of its proper divisors (949547160).

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

422020440 is a wasteful number, since it uses less digits than its factorization.

422020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172296 (or 1172289 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 422020440 is about 20543.1360799660. The cubic root of 422020440 is about 750.0861767644.

Adding to 422020440 its reverse (44020224), we get a palindrome (466040664).

The spelling of 422020440 in words is "four hundred twenty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1172279 2344558 3516837 4689116 5861395 7033674 9378232 10550511 11722790 14067348 17584185 21101022 23445580 28134696 35168370 42202044 46891160 52752555 70336740 84404088 105505110 140673480 211010220 422020440