Search a number
-
+
4221700 = 2252737163
BaseRepresentation
bin10000000110101100000100
321221111002021
4100012230010
52040043300
6230252524
750612110
oct20065404
97844067
104221700
11242390a
1214b7144
13b4a762
147bc740
15585d1a
hex406b04

4221700 has 72 divisors (see below), whose sum is σ = 10818752. Its totient is φ = 1399680.

The previous prime is 4221691. The next prime is 4221703. The reversal of 4221700 is 71224.

4221700 = T161 + T162 + ... + T308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25819 + ... + 25981.

Almost surely, 24221700 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 4221700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409376).

4221700 is an abundant number, since it is smaller than the sum of its proper divisors (6597052).

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

4221700 is a wasteful number, since it uses less digits than its factorization.

4221700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4221700 is about 2054.6775902803. The cubic root of 4221700 is about 161.6202556873.

Adding to 4221700 its reverse (71224), we get a palindrome (4292924).

The spelling of 4221700 in words is "four million, two hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 163 175 185 259 326 350 370 518 652 700 740 815 925 1036 1141 1295 1630 1850 2282 2590 3260 3700 4075 4564 5180 5705 6031 6475 8150 11410 12062 12950 16300 22820 24124 25900 28525 30155 42217 57050 60310 84434 114100 120620 150775 168868 211085 301550 422170 603100 844340 1055425 2110850 4221700