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422322333440 = 2857378591483
BaseRepresentation
bin1100010010101000101…
…11110110011100000000
31111101002100222101211012
412021110113312130000
523404404004132230
6522002345140052
742340353414230
oct6112427663400
91441070871735
10422322333440
11153118a46957
1269a22a8a628
1330a951aa677
1416624a8bcc0
15aebb498395
hex62545f6700

422322333440 has 288 divisors, whose sum is σ = 1189537359360. Its totient is φ = 140623921152.

The previous prime is 422322333421. The next prime is 422322333469. The reversal of 422322333440 is 44333223224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 422322333397 and 422322333406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284774939 + ... + 284776421.

Almost surely, 2422322333440 is an apocalyptic number.

422322333440 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 422322333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594768679680).

422322333440 is an abundant number, since it is smaller than the sum of its proper divisors (767215025920).

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

422322333440 is a wasteful number, since it uses less digits than its factorization.

422322333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 422322333440 its reverse (44333223224), we get a palindrome (466655556664).

The spelling of 422322333440 in words is "four hundred twenty-two billion, three hundred twenty-two million, three hundred thirty-three thousand, four hundred forty".