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22432140 = 2234561227
BaseRepresentation
bin101010110010…
…0100110001100
31120012200010000
41111210212030
521220312030
62120444300
7361445553
oct125444614
946180100
1022432140
1111731665
127619690
134855473
142d9cd9a
151e81860
hex156498c

22432140 has 120 divisors (see below), whose sum is σ = 71839152. Its totient is φ = 5857920.

The previous prime is 22432133. The next prime is 22432147. The reversal of 22432140 is 4123422.

It is an interprime number because it is at equal distance from previous prime (22432133) and next prime (22432147).

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 (22432147) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 98707 + ... + 98933.

Almost surely, 222432140 is an apocalyptic number.

22432140 is a gapful number since it is divisible by the number (20) 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 22432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35919576).

22432140 is an abundant number, since it is smaller than the sum of its proper divisors (49407012).

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

22432140 is a wasteful number, since it uses less digits than its factorization.

22432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

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

The square root of 22432140 is about 4736.2580166203. The cubic root of 22432140 is about 282.0267063888.

Adding to 22432140 its reverse (4123422), we get a palindrome (26555562).

The spelling of 22432140 in words is "twenty-two million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 227 244 270 305 324 366 405 454 540 549 610 681 732 810 908 915 1098 1135 1220 1362 1620 1647 1830 2043 2196 2270 2724 2745 3294 3405 3660 4086 4540 4941 5490 6129 6588 6810 8172 8235 9882 10215 10980 12258 13620 13847 16470 18387 19764 20430 24516 24705 27694 30645 32940 36774 40860 41541 49410 55388 61290 69235 73548 83082 91935 98820 122580 124623 138470 166164 183870 207705 249246 276940 367740 373869 415410 498492 623115 747738 830820 1121607 1246230 1495476 1869345 2243214 2492460 3738690 4486428 5608035 7477380 11216070 22432140