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22120434 = 23271723449
BaseRepresentation
bin101010001100…
…0011111110010
31112121211112100
41110120133302
521130323214
62110041230
7356010030
oct124303762
945554470
1022120434
1111539456
1274a9216
13477661b
142d1b550
151e1e309
hex15187f2

22120434 has 96 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 5677056.

The previous prime is 22120433. The next prime is 22120459. The reversal of 22120434 is 43402122.

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

It is not an unprimeable number, because it can be changed into a prime (22120433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49042 + ... + 49490.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 222120434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

22120434 is an abundant number, since it is smaller than the sum of its proper divisors (38532366).

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

22120434 is a wasteful number, since it uses less digits than its factorization.

22120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22120434 is about 4703.2365451889. The cubic root of 22120434 is about 280.7143071361.

Adding to 22120434 its reverse (43402122), we get a palindrome (65522556).

The spelling of 22120434 in words is "twenty-two million, one hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 306 322 357 391 414 449 483 714 782 898 966 1071 1173 1347 1449 2142 2346 2694 2737 2898 3143 3519 4041 5474 6286 7038 7633 8082 8211 9429 10327 15266 16422 18858 20654 22899 24633 28287 30981 45798 49266 53431 56574 61962 68697 72289 92943 106862 137394 144578 160293 175559 185886 216867 320586 351118 433734 480879 526677 650601 961758 1053354 1228913 1301202 1580031 2457826 3160062 3686739 7373478 11060217 22120434