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4800222 = 23571783
BaseRepresentation
bin10010010011111011011110
3100000212200000
4102103323132
52212101342
6250515130
755541550
oct22237336
910025600
104800222
112789529
121735aa6
13cc0b8b
148cd4d0
1564c44c
hex493ede

4800222 has 96 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1275264.

The previous prime is 4800221. The next prime is 4800241. The reversal of 4800222 is 2220084.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4800195 and 4800204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57793 + ... + 57875.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 24800222 is an apocalyptic number.

4800222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4800222 is an abundant number, since it is smaller than the sum of its proper divisors (8408610).

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

4800222 is a wasteful number, since it uses less digits than its factorization.

4800222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4800222 is about 2190.9408937714. The cubic root of 4800222 is about 168.6891336043.

The spelling of 4800222 in words is "four million, eight hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 83 102 119 126 153 162 166 189 238 243 249 306 357 378 459 486 498 567 581 714 747 918 1071 1134 1162 1377 1411 1494 1701 1743 2142 2241 2754 2822 3213 3402 3486 4131 4233 4482 5229 6426 6723 8262 8466 9639 9877 10458 12699 13446 15687 19278 19754 20169 25398 28917 29631 31374 38097 40338 47061 57834 59262 76194 88893 94122 114291 141183 177786 228582 266679 282366 342873 533358 685746 800037 1600074 2400111 4800222