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22942248 = 23371729277
BaseRepresentation
bin101011110000…
…1001000101000
31121011120211220
41113201020220
521333122443
62135422040
7366002010
oct127411050
947146756
1022942248
1111a4a93a
127824920
1349a36c4
143092c40
152032a83
hex15e1228

22942248 has 128 divisors (see below), whose sum is σ = 72057600. Its totient is φ = 5935104.

The previous prime is 22942243. The next prime is 22942259. The reversal of 22942248 is 84224922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22942243) 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, 82686 + ... + 82962.

It is an arithmetic number, because the mean of its divisors is an integer number (562950).

Almost surely, 222942248 is an apocalyptic number.

22942248 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 22942248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36028800).

22942248 is an abundant number, since it is smaller than the sum of its proper divisors (49115352).

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

22942248 is a wasteful number, since it uses less digits than its factorization.

22942248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22942248 is about 4789.8066766833. The cubic root of 22942248 is about 284.1484709365.

The spelling of 22942248 in words is "twenty-two million, nine hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 29 34 42 51 56 58 68 84 87 102 116 119 136 168 174 203 204 232 238 277 348 357 406 408 476 493 554 609 696 714 812 831 952 986 1108 1218 1428 1479 1624 1662 1939 1972 2216 2436 2856 2958 3324 3451 3878 3944 4709 4872 5817 5916 6648 6902 7756 8033 9418 10353 11634 11832 13804 14127 15512 16066 18836 20706 23268 24099 27608 28254 32132 32963 37672 41412 46536 48198 56231 56508 64264 65926 82824 96396 98889 112462 113016 131852 136561 168693 192792 197778 224924 263704 273122 337386 395556 409683 449848 546244 674772 791112 819366 955927 1092488 1349544 1638732 1911854 2867781 3277464 3823708 5735562 7647416 11471124 22942248