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422631300 = 22352713113137
BaseRepresentation
bin11001001100001…
…101011110000100
31002110020220011010
4121030031132010
51331143200200
6105534242220
713321210140
oct3114153604
91073226133
10422631300
111a7623173
12b9656370
13697365c0
14401b6220
1527184150
hex1930d784

422631300 has 288 divisors, whose sum is σ = 1529402112. Its totient is φ = 87736320.

The previous prime is 422631299. The next prime is 422631301. The reversal of 422631300 is 3136224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422631299) and next prime (422631301).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (422631301) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3084832 + ... + 3084968.

It is an arithmetic number, because the mean of its divisors is an integer number (5310424).

Almost surely, 2422631300 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 422631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764701056).

422631300 is an abundant number, since it is smaller than the sum of its proper divisors (1106770812).

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

422631300 is a wasteful number, since it uses less digits than its factorization.

422631300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 422631300 is about 20557.9984434283. The cubic root of 422631300 is about 750.4479102264.

Adding to 422631300 its reverse (3136224), we get a palindrome (425767524).

The spelling of 422631300 in words is "four hundred twenty-two million, six hundred thirty-one thousand, three hundred".