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422373420 = 223357195881
BaseRepresentation
bin11001001011001…
…110100000101100
31002102202210102000
4121023032200230
51331111422140
6105524532300
713316054250
oct3113164054
91072683360
10422373420
111a7467447
12b9551090
1369676101
144014a260
1527132a30
hex192ce82c

422373420 has 192 divisors, whose sum is σ = 1581081600. Its totient is φ = 91445760.

The previous prime is 422373409. The next prime is 422373433. The reversal of 422373420 is 24373224.

422373420 is a `hidden beast` number, since 4 + 2 + 237 + 3 + 420 = 666.

It is a super-3 number, since 3×4223734203 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68880 + ... + 74760.

It is an arithmetic number, because the mean of its divisors is an integer number (8234800).

Almost surely, 2422373420 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 422373420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790540800).

422373420 is an abundant number, since it is smaller than the sum of its proper divisors (1158708180).

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

422373420 is a wasteful number, since it uses less digits than its factorization.

422373420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 422373420 is about 20551.7254750057. The cubic root of 422373420 is about 750.2952437596.

The spelling of 422373420 in words is "four hundred twenty-two million, three hundred seventy-three thousand, four hundred twenty".