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422333100024 = 233111925975109
BaseRepresentation
bin1100010010101010000…
…00111010111111111000
31111101010010020101210120
412021111000322333320
523404414233200044
6522003412013240
742340544055543
oct6112500727770
91441103211716
10422333100024
1115312402aa60
1269a26601220
1330a974aa124
141662629185a
15aebc3c3519
hex625503aff8

422333100024 has 192 divisors, whose sum is σ = 1236250512000. Its totient is φ = 119187383040.

The previous prime is 422333100019. The next prime is 422333100047. The reversal of 422333100024 is 420001333224.

422333100024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 422333099967 and 422333100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5585382 + ... + 5660490.

It is an arithmetic number, because the mean of its divisors is an integer number (6438804750).

Almost surely, 2422333100024 is an apocalyptic number.

422333100024 is a gapful number since it is divisible by the number (44) 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 422333100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618125256000).

422333100024 is an abundant number, since it is smaller than the sum of its proper divisors (813917411976).

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

422333100024 is a wasteful number, since it uses less digits than its factorization.

422333100024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75226 (or 75203 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 422333100024 its reverse (420001333224), we get a palindrome (842334433248).

The spelling of 422333100024 in words is "four hundred twenty-two billion, three hundred thirty-three million, one hundred thousand, twenty-four".