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422000440 = 23561971783
BaseRepresentation
bin11001001001110…
…011011100111000
31002102001211202221
4121021303130320
51331013003230
6105512533424
713312641661
oct3111633470
91072054687
10422000440
111a72321a4
12b93b1274
1369575404
1440090368
15270ac27a
hex19273738

422000440 has 64 divisors (see below), whose sum is σ = 975562560. Its totient is φ = 164229120.

The previous prime is 422000407. The next prime is 422000441. The reversal of 422000440 is 44000224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422000441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235789 + ... + 237571.

It is an arithmetic number, because the mean of its divisors is an integer number (15243165).

Almost surely, 2422000440 is an apocalyptic number.

422000440 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 422000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487781280).

422000440 is an abundant number, since it is smaller than the sum of its proper divisors (553562120).

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

422000440 is a wasteful number, since it uses less digits than its factorization.

422000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 422000440 is about 20542.6492936038. The cubic root of 422000440 is about 750.0743274485.

Adding to 422000440 its reverse (44000224), we get a palindrome (466000664).

The spelling of 422000440 in words is "four hundred twenty-two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 61 97 122 194 244 305 388 485 488 610 776 970 1220 1783 1940 2440 3566 3880 5917 7132 8915 11834 14264 17830 23668 29585 35660 47336 59170 71320 108763 118340 172951 217526 236680 345902 435052 543815 691804 864755 870104 1087630 1383608 1729510 2175260 3459020 4350520 6918040 10550011 21100022 42200044 52750055 84400088 105500110 211000220 422000440