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40100224 = 272353257
BaseRepresentation
bin1001100011111…
…0000110000000
32210110022011111
42120332012000
540231201344
63551253104
7664563163
oct230760600
983408144
1040100224
11206a998a
121151a194
138400358
14547bada
1537c1834
hex263e180

40100224 has 64 divisors (see below), whose sum is σ = 85263840. Its totient is φ = 18743296.

The previous prime is 40100219. The next prime is 40100227. The reversal of 40100224 is 42200104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155904 + ... + 156160.

Almost surely, 240100224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42631920).

40100224 is an abundant number, since it is smaller than the sum of its proper divisors (45163616).

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

40100224 is a wasteful number, since it uses less digits than its factorization.

40100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40100224 is about 6332.4737662307. The cubic root of 40100224 is about 342.2805854872.

Adding to 40100224 its reverse (42200104), we get a palindrome (82300328).

The spelling of 40100224 in words is "forty million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 257 368 424 514 736 848 1028 1219 1472 1696 2056 2438 2944 3392 4112 4876 5911 6784 8224 9752 11822 13621 16448 19504 23644 27242 32896 39008 47288 54484 78016 94576 108968 156032 189152 217936 313283 378304 435872 626566 756608 871744 1253132 1743488 2506264 5012528 10025056 20050112 40100224