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4225100 = 22521123167
BaseRepresentation
bin10000000111100001001100
321221122202012
4100013201030
52040200400
6230320352
750625035
oct20074114
97848665
104225100
112426420
1214b90b8
13b4c179
147bda8c
15586d35
hex40784c

4225100 has 72 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1460800.

The previous prime is 4225099. The next prime is 4225103. The reversal of 4225100 is 15224.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4225103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25217 + ... + 25383.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 24225100 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 4225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

4225100 is an abundant number, since it is smaller than the sum of its proper divisors (6274228).

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

4225100 is a wasteful number, since it uses less digits than its factorization.

4225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4225100 is about 2055.5048041783. The cubic root of 4225100 is about 161.6636316904.

The spelling of 4225100 in words is "four million, two hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 167 220 230 253 275 334 460 506 550 575 668 835 1012 1100 1150 1265 1670 1837 2300 2530 3340 3674 3841 4175 5060 6325 7348 7682 8350 9185 12650 15364 16700 18370 19205 25300 36740 38410 42251 45925 76820 84502 91850 96025 169004 183700 192050 211255 384100 422510 845020 1056275 2112550 4225100