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4225400 = 235237571
BaseRepresentation
bin10000000111100101111000
321221200011022
4100013211320
52040203100
6230322012
750625644
oct20074570
97850138
104225400
112426673
1214b9308
13b4c34a
147bdc24
15586e85
hex407978

4225400 has 48 divisors (see below), whose sum is σ = 10107240. Its totient is φ = 1641600.

The previous prime is 4225381. The next prime is 4225411. The reversal of 4225400 is 45224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7115 + ... + 7685.

Almost surely, 24225400 is an apocalyptic number.

4225400 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 4225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053620).

4225400 is an abundant number, since it is smaller than the sum of its proper divisors (5881840).

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

4225400 is a wasteful number, since it uses less digits than its factorization.

4225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4225400 is about 2055.5777776577. The cubic root of 4225400 is about 161.6674578674.

It can be divided in two parts, 4225 and 400, that multiplied together give a square (1690000 = 13002).

The spelling of 4225400 in words is "four million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 571 740 925 1142 1480 1850 2284 2855 3700 4568 5710 7400 11420 14275 21127 22840 28550 42254 57100 84508 105635 114200 169016 211270 422540 528175 845080 1056350 2112700 4225400