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22868496 = 243273463
BaseRepresentation
bin101011100111…
…1001000010000
31121000211200100
41113033020100
521323242441
62134052400
7365244000
oct127171020
947024610
1022868496
11119aa492
1277aa100
134978c71
143074000
15201acb6
hex15cf210

22868496 has 120 divisors (see below), whose sum is σ = 74796800. Its totient is φ = 6519744.

The previous prime is 22868477. The next prime is 22868513. The reversal of 22868496 is 69486822.

22868496 = T1288 + T1289 + ... + T1314.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49161 + ... + 49623.

Almost surely, 222868496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22868496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37398400).

22868496 is an abundant number, since it is smaller than the sum of its proper divisors (51928304).

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

22868496 is a wasteful number, since it uses less digits than its factorization.

22868496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 475 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 22868496 is about 4782.1016300367. The cubic root of 22868496 is about 283.8436618874.

The spelling of 22868496 in words is "twenty-two million, eight hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 463 504 588 686 784 882 926 1008 1029 1176 1372 1389 1764 1852 2058 2352 2744 2778 3087 3241 3528 3704 4116 4167 5488 5556 6174 6482 7056 7408 8232 8334 9723 11112 12348 12964 16464 16668 19446 22224 22687 24696 25928 29169 33336 38892 45374 49392 51856 58338 66672 68061 77784 90748 116676 136122 155568 158809 181496 204183 233352 272244 317618 362992 408366 466704 476427 544488 635236 816732 952854 1088976 1270472 1429281 1633464 1905708 2540944 2858562 3266928 3811416 5717124 7622832 11434248 22868496