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43424000224 = 25111924112693
BaseRepresentation
bin101000011100010001…
…011010100011100000
311011002021220202210121
4220130101122203200
51202413021001344
631540531010024
73065041624513
oct503421324340
9134067822717
1043424000224
11174637970a0
1284ba739914
13413055c4b7
14215d224d7a
1511e23d0684
hexa1c45a8e0

43424000224 has 96 divisors (see below), whose sum is σ = 98248671360. Its totient is φ = 18684633600.

The previous prime is 43424000219. The next prime is 43424000233. The reversal of 43424000224 is 42200042434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16123422 + ... + 16126114.

It is an arithmetic number, because the mean of its divisors is an integer number (1023423660).

Almost surely, 243424000224 is an apocalyptic number.

43424000224 is a gapful number since it is divisible by the number (44) 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 43424000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49124335680).

43424000224 is an abundant number, since it is smaller than the sum of its proper divisors (54824671136).

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

43424000224 is a wasteful number, since it uses less digits than its factorization.

43424000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 43424000224 its reverse (42200042434), we get a palindrome (85624042658).

The spelling of 43424000224 in words is "forty-three billion, four hundred twenty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 2411 2693 3344 4822 5386 6688 9644 10772 19288 21544 26521 29623 38576 43088 45809 51167 53042 59246 77152 86176 91618 102334 106084 118492 183236 204668 212168 236984 366472 409336 424336 473968 503899 562837 732944 818672 848672 947936 1007798 1125674 1465888 1637344 2015596 2251348 4031192 4502696 6492823 8062384 9005392 12985646 16124768 18010784 25971292 51942584 71421053 103885168 123363637 142842106 207770336 246727274 285684212 493454548 571368424 986909096 1142736848 1357000007 1973818192 2285473696 2714000014 3947636384 5428000028 10856000056 21712000112 43424000224