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4222848 = 27371571
BaseRepresentation
bin10000000110111110000000
321221112122210
4100012332000
52040112343
6230302120
750615340
oct20067600
97845583
104222848
112424763
1214b7940
13b4b136
147bcd20
15586333
hex406f80

4222848 has 64 divisors (see below), whose sum is σ = 12827520. Its totient is φ = 1205760.

The previous prime is 4222843. The next prime is 4222849. The reversal of 4222848 is 8482224.

4222848 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42228482 = 35664890462208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1903 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (200430).

Almost surely, 24222848 is an apocalyptic number.

4222848 is a gapful number since it is divisible by the number (48) 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 4222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413760).

4222848 is an abundant number, since it is smaller than the sum of its proper divisors (8604672).

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

4222848 is a wasteful number, since it uses less digits than its factorization.

4222848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1583 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 4222848 is about 2054.9569338553. The cubic root of 4222848 is about 161.6349040705.

The spelling of 4222848 in words is "four million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1571 2688 3142 4713 6284 9426 10997 12568 18852 21994 25136 32991 37704 43988 50272 65982 75408 87976 100544 131964 150816 175952 201088 263928 301632 351904 527856 603264 703808 1055712 1407616 2111424 4222848