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4222944 = 2532113143
BaseRepresentation
bin10000000110111111100000
321221112210100
4100012333200
52040113234
6230302400
750615535
oct20067740
97845710
104222944
112424840
1214b7a00
13b4b1ab
147bcd8c
15586399
hex406fe0

4222944 has 144 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 1209600.

The previous prime is 4222937. The next prime is 4222949. The reversal of 4222944 is 4492224.

4222944 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 (144).

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 (4222949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98187 + ... + 98229.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

Almost surely, 24222944 is an apocalyptic number.

4222944 is a gapful number since it is divisible by the number (44) 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 4222944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912).

4222944 is an abundant number, since it is smaller than the sum of its proper divisors (9614880).

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

4222944 is a wasteful number, since it uses less digits than its factorization.

4222944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4222944 is about 2054.9802918763. The cubic root of 4222944 is about 161.6361289021.

The spelling of 4222944 in words is "four million, two hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 43 44 48 62 66 72 86 88 93 96 99 124 129 132 144 172 176 186 198 248 258 264 279 288 341 344 352 372 387 396 473 496 516 528 558 682 688 744 774 792 946 992 1023 1032 1056 1116 1333 1364 1376 1419 1488 1548 1584 1892 2046 2064 2232 2666 2728 2838 2976 3069 3096 3168 3784 3999 4092 4128 4257 4464 5332 5456 5676 6138 6192 7568 7998 8184 8514 8928 10664 10912 11352 11997 12276 12384 14663 15136 15996 16368 17028 21328 22704 23994 24552 29326 31992 32736 34056 42656 43989 45408 47988 49104 58652 63984 68112 87978 95976 98208 117304 127968 131967 136224 175956 191952 234608 263934 351912 383904 469216 527868 703824 1055736 1407648 2111472 4222944