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422405440 = 2656611997
BaseRepresentation
bin11001001011010…
…110010101000000
31002102211102022221
4121023112111000
51331113433230
6105525340424
713316246512
oct3113262500
91072742287
10422405440
111a7489506
12b9567714
1369687862
1440157bb2
152713c27a
hex192d6540

422405440 has 56 divisors (see below), whose sum is σ = 1007879112. Its totient is φ = 168622080.

The previous prime is 422405377. The next prime is 422405441. The reversal of 422405440 is 44504224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 410953984 = 3384^2 + 20272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422405441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210522 + ... + 212518.

Almost surely, 2422405440 is an apocalyptic number.

422405440 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 422405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503939556).

422405440 is an abundant number, since it is smaller than the sum of its proper divisors (585473672).

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

422405440 is a wasteful number, since it uses less digits than its factorization.

422405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 422405440 is about 20552.5044702586. The cubic root of 422405440 is about 750.3142031649.

Adding to 422405440 its reverse (44504224), we get a palindrome (466909664).

The spelling of 422405440 in words is "four hundred twenty-two million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 661 1322 1997 2644 3305 3994 5288 6610 7988 9985 10576 13220 15976 19970 21152 26440 31952 39940 42304 52880 63904 79880 105760 127808 159760 211520 319520 639040 1320017 2640034 5280068 6600085 10560136 13200170 21120272 26400340 42240544 52800680 84481088 105601360 211202720 422405440