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540101226 = 23722379873
BaseRepresentation
bin100000001100010…
…100101001101010
31101122021222121010
4200030110221222
52101231214401
6125332124350
716245533100
oct4014245152
91348258533
10540101226
11257967055
12130a666b6
1387b85a32
1451a33c70
1532639ed6
hex20314a6a

540101226 has 48 divisors (see below), whose sum is σ = 1311211584. Its totient is φ = 147603456.

The previous prime is 540101209. The next prime is 540101227. The reversal of 540101226 is 622101045.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (540101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33175 + ... + 46698.

It is an arithmetic number, because the mean of its divisors is an integer number (27316908).

Almost surely, 2540101226 is an apocalyptic number.

540101226 is an abundant number, since it is smaller than the sum of its proper divisors (771110358).

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

540101226 is a wasteful number, since it uses less digits than its factorization.

540101226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79915 (or 79908 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 540101226 is about 23240.0780119173. The cubic root of 540101226 is about 814.3761650656.

The spelling of 540101226 in words is "five hundred forty million, one hundred one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 966 1127 2254 3381 6762 79873 159746 239619 479238 559111 1118222 1677333 1837079 3354666 3674158 3913777 5511237 7827554 11022474 11741331 12859553 23482662 25719106 38578659 77157318 90016871 180033742 270050613 540101226