Search a number
-
+
422340401400 = 233524143399263
BaseRepresentation
bin1100010010101010111…
…00110001100011111000
31111101010121222100101220
412021111130301203320
523404423120321100
6522004232312040
742340663115421
oct6112534614370
91441117870356
10422340401400
11153128167655
1269a28b42620
1330a98b65578
1416627232648
15aebcd66aa0
hex62557318f8

422340401400 has 192 divisors, whose sum is σ = 1372382161920. Its totient is φ = 107321625600.

The previous prime is 422340401387. The next prime is 422340401411. The reversal of 422340401400 is 4104043224.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858169 + ... + 1257431.

It is an arithmetic number, because the mean of its divisors is an integer number (7147823760).

Almost surely, 2422340401400 is an apocalyptic number.

422340401400 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 422340401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686191080960).

422340401400 is an abundant number, since it is smaller than the sum of its proper divisors (950041760520).

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

422340401400 is a wasteful number, since it uses less digits than its factorization.

422340401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399366 (or 399357 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 422340401400 its reverse (4104043224), we get a palindrome (426444444624).

The spelling of 422340401400 in words is "four hundred twenty-two billion, three hundred forty million, four hundred one thousand, four hundred".