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40221012 = 22313318317
BaseRepresentation
bin1001100101101…
…1100101010100
32210200102212010
42121123211110
540244033022
63554024220
7665605266
oct231334524
983612763
1040221012
1120781707
1211578070
138443320
1454adb36
1537e750c
hex265b954

40221012 has 48 divisors (see below), whose sum is σ = 104340992. Its totient is φ = 11975040.

The previous prime is 40221001. The next prime is 40221017. The reversal of 40221012 is 21012204.

40221012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678 + ... + 8994.

Almost surely, 240221012 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 40221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52170496).

40221012 is an abundant number, since it is smaller than the sum of its proper divisors (64119980).

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

40221012 is a wasteful number, since it uses less digits than its factorization.

40221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40221012 is about 6342.0037842940. The cubic root of 40221012 is about 342.6239081398.

Adding to 40221012 its reverse (21012204), we get a palindrome (61233216).

The spelling of 40221012 in words is "forty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 8317 16634 24951 33268 49902 99804 108121 216242 257827 324363 432484 515654 648726 773481 1031308 1297452 1546962 3093924 3351751 6703502 10055253 13407004 20110506 40221012