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40221136 = 243183977
BaseRepresentation
bin1001100101101…
…1100111010000
32210200110000201
42121123213100
540244034021
63554024544
7665605534
oct231334720
983613021
1040221136
112078180a
1211578154
1384433b7
1454adbc4
1537e7591
hex265b9d0

40221136 has 40 divisors (see below), whose sum is σ = 81494784. Its totient is φ = 19207680.

The previous prime is 40221131. The next prime is 40221161. The reversal of 40221136 is 63112204.

40221136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402211362 = 3235479562260992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221131) 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 7 ways as a sum of consecutive naturals, for example, 40680 + ... + 41656.

Almost surely, 240221136 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 40221136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40747392).

40221136 is an abundant number, since it is smaller than the sum of its proper divisors (41273648).

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

40221136 is a wasteful number, since it uses less digits than its factorization.

40221136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 40221136 is about 6342.0135603765. The cubic root of 40221136 is about 342.6242602386.

The spelling of 40221136 in words is "forty million, two hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 83 124 166 248 332 496 664 977 1328 1954 2573 3908 5146 7816 10292 15632 20584 30287 41168 60574 81091 121148 162182 242296 324364 484592 648728 1297456 2513821 5027642 10055284 20110568 40221136