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422121024 = 263313192343
BaseRepresentation
bin11001001010010…
…000111001000000
31002102021222012000
4121022100321000
51331030333044
6105515304000
713313653353
oct3112207100
91072258160
10422121024
111a7304856
12b944b000
13695b8270
14400c229a
15270d2d69
hex19290e40

422121024 has 448 divisors, whose sum is σ = 1502054400. Its totient is φ = 114960384.

The previous prime is 422120983. The next prime is 422121031. The reversal of 422121024 is 420121224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 422120988 and 422121006.

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, 9816747 + ... + 9816789.

It is an arithmetic number, because the mean of its divisors is an integer number (3352800).

Almost surely, 2422121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751027200).

422121024 is an abundant number, since it is smaller than the sum of its proper divisors (1079933376).

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

422121024 is a wasteful number, since it uses less digits than its factorization.

422121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422121024 is about 20545.5840510802. The cubic root of 422121024 is about 750.1457636688.

Adding to 422121024 its reverse (420121224), we get a palindrome (842242248).

The spelling of 422121024 in words is "four hundred twenty-two million, one hundred twenty-one thousand, twenty-four".