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4226208 = 253719331
BaseRepresentation
bin10000000111110010100000
321221201021020
4100013302200
52040214313
6230325440
750631210
oct20076240
97851236
104226208
112427238
1214b9880
13b4c81c
147c0240
15587323
hex407ca0

4226208 has 96 divisors (see below), whose sum is σ = 13386240. Its totient is φ = 1140480.

The previous prime is 4226207. The next prime is 4226213. The reversal of 4226208 is 8026224.

4226208 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4226203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12603 + ... + 12933.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

Almost surely, 24226208 is an apocalyptic number.

4226208 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 4226208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693120).

4226208 is an abundant number, since it is smaller than the sum of its proper divisors (9160032).

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

4226208 is a wasteful number, since it uses less digits than its factorization.

4226208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4226208 is about 2055.7743066786. The cubic root of 4226208 is about 161.6777621369.

The spelling of 4226208 in words is "four million, two hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 331 336 399 456 532 608 662 672 798 912 993 1064 1324 1596 1824 1986 2128 2317 2648 3192 3972 4256 4634 5296 6289 6384 6951 7944 9268 10592 12578 12768 13902 15888 18536 18867 25156 27804 31776 37072 37734 44023 50312 55608 74144 75468 88046 100624 111216 132069 150936 176092 201248 222432 264138 301872 352184 528276 603744 704368 1056552 1408736 2113104 4226208