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22430340 = 22325294297
BaseRepresentation
bin101010110010…
…0001010000100
31120012120122100
41111210022010
521220232330
62120432100
7361440402
oct125441204
946176570
1022430340
1111730279
127618630
1348546ba
142d9c472
151e81060
hex1564284

22430340 has 72 divisors (see below), whose sum is σ = 70401240. Its totient is φ = 5773824.

The previous prime is 22430339. The next prime is 22430381. The reversal of 22430340 is 4303422.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 19766916 = 1632^2 + 4446^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3072 + ... + 7368.

It is an arithmetic number, because the mean of its divisors is an integer number (977795).

Almost surely, 222430340 is an apocalyptic number.

22430340 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 22430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35200620).

22430340 is an abundant number, since it is smaller than the sum of its proper divisors (47970900).

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

22430340 is a wasteful number, since it uses less digits than its factorization.

22430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22430340 is about 4736.0679893768. The cubic root of 22430340 is about 282.0191627238.

Adding to 22430340 its reverse (4303422), we get a palindrome (26733762).

It can be divided in two parts, 2 and 2430340, that added together give a palindrome (2430342).

The spelling of 22430340 in words is "twenty-two million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 4297 5220 8594 12891 17188 21485 25782 38673 42970 51564 64455 77346 85940 124613 128910 154692 193365 249226 257820 373839 386730 498452 623065 747678 773460 1121517 1246130 1495356 1869195 2243034 2492260 3738390 4486068 5607585 7476780 11215170 22430340