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422100000 = 253255767
BaseRepresentation
bin11001001010001…
…011110000100000
31002102020220100100
4121022023300200
51331024200000
6105515022400
713313535150
oct3112136040
91072226310
10422100000
111a729aa83
12b943aa00
13695ab81a
14400b8760
15270cba00
hex1928bc20

422100000 has 432 divisors, whose sum is σ = 1740263616. Its totient is φ = 95040000.

The previous prime is 422099981. The next prime is 422100001. The reversal of 422100000 is 1224.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (422100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6299967 + ... + 6300033.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2422100000 is an apocalyptic number.

422100000 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 422100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870131808).

422100000 is an abundant number, since it is smaller than the sum of its proper divisors (1318163616).

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

422100000 is an equidigital number, since it uses as much as digits as its factorization.

422100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 422100000 is about 20545.0724019167. The cubic root of 422100000 is about 750.1333096367.

Adding to 422100000 its reverse (1224), we get a palindrome (422101224).

The spelling of 422100000 in words is "four hundred twenty-two million, one hundred thousand".