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4227400 = 235223919
BaseRepresentation
bin10000001000000101001000
321221202220101
4100020011020
52040234100
6230335144
750634532
oct20100510
97852811
104227400
112428121
1214ba4b4
13b50228
147c0852
1558786a
hex408148

4227400 has 48 divisors (see below), whose sum is σ = 10267200. Its totient is φ = 1615680.

The previous prime is 4227397. The next prime is 4227401. The reversal of 4227400 is 47224.

It is not an unprimeable number, because it can be changed into a prime (4227401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4141 + ... + 5059.

It is an arithmetic number, because the mean of its divisors is an integer number (213900).

Almost surely, 24227400 is an apocalyptic number.

4227400 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 4227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133600).

4227400 is an abundant number, since it is smaller than the sum of its proper divisors (6039800).

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

4227400 is a wasteful number, since it uses less digits than its factorization.

4227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4227400 is about 2056.0642013322. The cubic root of 4227400 is about 161.6929610872.

The spelling of 4227400 in words is "four million, two hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 919 920 1150 1838 2300 3676 4595 4600 7352 9190 18380 21137 22975 36760 42274 45950 84548 91900 105685 169096 183800 211370 422740 528425 845480 1056850 2113700 4227400