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422320234440 = 2335131937273823
BaseRepresentation
bin1100010010101000011…
…11110101111111001000
31111101002020000202112110
412021110033311333020
523404402440000230
6522002232142320
742340326522546
oct6112417657710
91441066022473
10422320234440
11153117842945
1269a222379a0
1330a94924160
14166246a2d96
15aebb1d14b0
hex62543f5fc8

422320234440 has 256 divisors, whose sum is σ = 1436991897600. Its totient is φ = 98432216064.

The previous prime is 422320234433. The next prime is 422320234451. The reversal of 422320234440 is 44432023224.

It is a super-2 number, since 2×4223202344402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 422320234398 and 422320234407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110466369 + ... + 110470191.

It is an arithmetic number, because the mean of its divisors is an integer number (5613249600).

Almost surely, 2422320234440 is an apocalyptic number.

422320234440 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 422320234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718495948800).

422320234440 is an abundant number, since it is smaller than the sum of its proper divisors (1014671663160).

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

422320234440 is a wasteful number, since it uses less digits than its factorization.

422320234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 422320234440 its reverse (44432023224), we get a palindrome (466752257664).

The spelling of 422320234440 in words is "four hundred twenty-two billion, three hundred twenty million, two hundred thirty-four thousand, four hundred forty".