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22350042 = 232111319457
BaseRepresentation
bin101010101000…
…0100011011010
31120001111111100
41111100203122
521210200132
62115012230
7360654321
oct125204332
946044440
1022350042
1111685a10
12759a076
134826ca0
142d7b0b8
151e6737c
hex15508da

22350042 has 96 divisors (see below), whose sum is σ = 60016320. Its totient is φ = 5909760.

The previous prime is 22350017. The next prime is 22350077. The reversal of 22350042 is 24005322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22349997 and 22350024.

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 47 ways as a sum of consecutive naturals, for example, 48678 + ... + 49134.

It is an arithmetic number, because the mean of its divisors is an integer number (625170).

Almost surely, 222350042 is an apocalyptic number.

22350042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22350042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008160).

22350042 is an abundant number, since it is smaller than the sum of its proper divisors (37666278).

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

22350042 is a wasteful number, since it uses less digits than its factorization.

22350042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22350042 is about 4727.5831034473. The cubic root of 22350042 is about 281.6822284428.

Adding to 22350042 its reverse (24005322), we get a palindrome (46355364).

The spelling of 22350042 in words is "twenty-two million, three hundred fifty thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 457 494 627 741 858 914 1254 1287 1371 1482 1881 2223 2574 2717 2742 3762 4113 4446 5027 5434 5941 8151 8226 8683 10054 11882 15081 16302 17366 17823 24453 26049 30162 35646 45243 48906 52098 53469 65351 78147 90486 95513 106938 112879 130702 156294 191026 196053 225758 286539 338637 392106 573078 588159 677274 859617 1015911 1176318 1241669 1719234 2031822 2483338 3725007 7450014 11175021 22350042