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22992024 = 233111747109
BaseRepresentation
bin101011110110…
…1010010011000
31121021010010110
41113231102120
521341221044
62140444320
7366300066
oct127552230
947233113
1022992024
1111a84280
1278496a0
1349c0263
1430a7036
1520426b9
hex15ed498

22992024 has 128 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 6359040.

The previous prime is 22992017. The next prime is 22992043. The reversal of 22992024 is 42029922.

It is a Cunningham number, because it is equal to 47952-1.

It is a junction number, because it is equal to n+sod(n) for n = 22991982 and 22992000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210882 + ... + 210990.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 222992024 is an apocalyptic number.

22992024 is a gapful number since it is divisible by the number (24) 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 22992024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

22992024 is an abundant number, since it is smaller than the sum of its proper divisors (45436776).

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

22992024 is a wasteful number, since it uses less digits than its factorization.

22992024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 22992024 is about 4794.9998957247. Note that the first 3 decimals coincide. The cubic root of 22992024 is about 284.3538207308.

The spelling of 22992024 in words is "twenty-two million, nine hundred ninety-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 47 51 66 68 88 94 102 109 132 136 141 187 188 204 218 264 282 327 374 376 408 436 517 561 564 654 748 799 872 1034 1122 1128 1199 1308 1496 1551 1598 1853 2068 2244 2397 2398 2616 3102 3196 3597 3706 4136 4488 4794 4796 5123 5559 6204 6392 7194 7412 8789 9588 9592 10246 11118 12408 14388 14824 15369 17578 19176 20383 20492 22236 26367 28776 30738 35156 40766 40984 44472 52734 56353 61149 61476 70312 81532 87091 105468 112706 122298 122952 163064 169059 174182 210936 225412 244596 261273 338118 348364 450824 489192 522546 676236 696728 958001 1045092 1352472 1916002 2090184 2874003 3832004 5748006 7664008 11496012 22992024