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20422248 = 23371143257
BaseRepresentation
bin100110111100…
…1111001101000
31102102120001120
41031321321220
520212002443
62005415240
7335405040
oct115717150
942376046
1020422248
11105895a0
126a0a520
134300692
1429d8720
151bd6083
hex1379e68

20422248 has 128 divisors (see below), whose sum is σ = 65387520. Its totient is φ = 5160960.

The previous prime is 20422247. The next prime is 20422249. The reversal of 20422248 is 84222402.

It is an interprime number because it is at equal distance from previous prime (20422247) and next prime (20422249).

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 (20422243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79336 + ... + 79592.

It is an arithmetic number, because the mean of its divisors is an integer number (510840).

Almost surely, 220422248 is an apocalyptic number.

20422248 is a gapful number since it is divisible by the number (28) 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 20422248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32693760).

20422248 is an abundant number, since it is smaller than the sum of its proper divisors (44965272).

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

20422248 is a wasteful number, since it uses less digits than its factorization.

20422248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 20422248 is about 4519.0981401160. The cubic root of 20422248 is about 273.3387360952.

The spelling of 20422248 in words is "twenty million, four hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 56 66 77 84 86 88 129 132 154 168 172 231 257 258 264 301 308 344 462 473 514 516 602 616 771 903 924 946 1028 1032 1204 1419 1542 1799 1806 1848 1892 2056 2408 2827 2838 3084 3311 3598 3612 3784 5397 5654 5676 6168 6622 7196 7224 8481 9933 10794 11051 11308 11352 13244 14392 16962 19789 19866 21588 22102 22616 26488 33153 33924 39578 39732 43176 44204 59367 66306 67848 77357 79156 79464 88408 118734 121561 132612 154714 158312 232071 237468 243122 265224 309428 364683 464142 474936 486244 618856 729366 850927 928284 972488 1458732 1701854 1856568 2552781 2917464 3403708 5105562 6807416 10211124 20422248