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40223440 = 24537107127
BaseRepresentation
bin1001100101110…
…0001011010000
32210200120012001
42121130023100
540244122230
63554043344
7665615335
oct231341320
983616161
1040223440
1120783514
1211579554
13844446a
1454b098c
1537e80ca
hex265c2d0

40223440 has 80 divisors (see below), whose sum is σ = 97708032. Its totient is φ = 15386112.

The previous prime is 40223431. The next prime is 40223441. The reversal of 40223440 is 4432204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40223441) 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 15 ways as a sum of consecutive naturals, for example, 316657 + ... + 316783.

Almost surely, 240223440 is an apocalyptic number.

40223440 is a gapful number since it is divisible by the number (40) 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 40223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016).

40223440 is an abundant number, since it is smaller than the sum of its proper divisors (57484592).

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

40223440 is a wasteful number, since it uses less digits than its factorization.

40223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 40223440 is about 6342.1952035553. The cubic root of 40223440 is about 342.6308023315.

Adding to 40223440 its reverse (4432204), we get a palindrome (44655644).

The spelling of 40223440 in words is "forty million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 107 127 148 185 214 254 296 370 428 508 535 592 635 740 856 1016 1070 1270 1480 1712 2032 2140 2540 2960 3959 4280 4699 5080 7918 8560 9398 10160 13589 15836 18796 19795 23495 27178 31672 37592 39590 46990 54356 63344 67945 75184 79180 93980 108712 135890 158360 187960 217424 271780 316720 375920 502793 543560 1005586 1087120 2011172 2513965 4022344 5027930 8044688 10055860 20111720 40223440