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4222400 = 265271329
BaseRepresentation
bin10000000110110111000000
321221112001012
4100012313000
52040104100
6230300052
750614130
oct20066700
97845035
104222400
112424396
1214b7628
13b4ab80
147bcac0
15586135
hex406dc0

4222400 has 168 divisors, whose sum is σ = 13228320. Its totient is φ = 1290240.

The previous prime is 4222399. The next prime is 4222483. The reversal of 4222400 is 42224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145586 + ... + 145614.

It is an arithmetic number, because the mean of its divisors is an integer number (78740).

Almost surely, 24222400 is an apocalyptic number.

4222400 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 4222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614160).

4222400 is an abundant number, since it is smaller than the sum of its proper divisors (9005920).

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

4222400 is a wasteful number, since it uses less digits than its factorization.

4222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4222400 is about 2054.8479262466. The cubic root of 4222400 is about 161.6291879442.

Adding to 4222400 its reverse (42224), we get a palindrome (4264624).

Multiplying 4222400 by its reverse (42224), we get a square (178286617600 = 4222402).

4222400 divided by its reverse (42224) gives a square (100 = 102).

The spelling of 4222400 in words is "four million, two hundred twenty-two thousand, four hundred".