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4222200 = 2335231227
BaseRepresentation
bin10000000110110011111000
321221111202210
4100012303320
52040102300
6230255120
750613423
oct20066370
97844683
104222200
112424224
1214b74a0
13b4aa58
147bc9ba
15586050
hex406cf8

4222200 has 96 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 1084800.

The previous prime is 4222177. The next prime is 4222219. The reversal of 4222200 is 22224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

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, 18487 + ... + 18713.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 24222200 is an apocalyptic number.

4222200 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 4222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

4222200 is an abundant number, since it is smaller than the sum of its proper divisors (9348360).

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

4222200 is a wasteful number, since it uses less digits than its factorization.

4222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4222200 is about 2054.7992602685. The cubic root of 4222200 is about 161.6266359715.

Adding to 4222200 its reverse (22224), we get a palindrome (4244424).

The spelling of 4222200 in words is "four million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 227 248 300 310 372 454 465 600 620 681 744 775 908 930 1135 1240 1362 1550 1816 1860 2270 2325 2724 3100 3405 3720 4540 4650 5448 5675 6200 6810 7037 9080 9300 11350 13620 14074 17025 18600 21111 22700 27240 28148 34050 35185 42222 45400 56296 68100 70370 84444 105555 136200 140740 168888 175925 211110 281480 351850 422220 527775 703700 844440 1055550 1407400 2111100 4222200