Search a number
-
+
40141224 = 2333199781
BaseRepresentation
bin1001100100100…
…0000110101000
32210112101102000
42121020012220
540234004344
63552211000
7665123544
oct231100650
983471360
1040141224
1120727772
1211539a60
138415c06
14548ca24
1537cda69
hex26481a8

40141224 has 64 divisors (see below), whose sum is σ = 117384000. Its totient is φ = 12674880.

The previous prime is 40141223. The next prime is 40141229. The reversal of 40141224 is 42214104.

40141224 is a `hidden beast` number, since 401 + 41 + 224 = 666.

It is a super-2 number, since 2×401412242 = 3222635728436352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40141197 and 40141206.

It is not an unprimeable number, because it can be changed into a prime (40141223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787 + ... + 8994.

It is an arithmetic number, because the mean of its divisors is an integer number (1834125).

Almost surely, 240141224 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 40141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58692000).

40141224 is an abundant number, since it is smaller than the sum of its proper divisors (77242776).

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

40141224 is a wasteful number, since it uses less digits than its factorization.

40141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40141224 is about 6335.7102206461. The cubic root of 40141224 is about 342.3971993322.

Adding to 40141224 its reverse (42214104), we get a palindrome (82355328).

The spelling of 40141224 in words is "forty million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 9781 19562 29343 39124 58686 78248 88029 117372 176058 185839 234744 264087 352116 371678 528174 557517 704232 743356 1056348 1115034 1486712 1672551 2112696 2230068 3345102 4460136 5017653 6690204 10035306 13380408 20070612 40141224