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66922240 = 285721197
BaseRepresentation
bin1111111101001…
…0011100000000
311122221000001111
43333102130000
5114113002430
610350213104
71441554400
oct377223400
9148830044
1066922240
1134859740
121a4b4194
1310b31978
148c60800
155d1dc2a
hex3fd2700

66922240 has 216 divisors, whose sum is σ = 205520112. Its totient is φ = 20643840.

The previous prime is 66922231. The next prime is 66922253. The reversal of 66922240 is 4222966.

66922240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 689872 + ... + 689968.

It is an arithmetic number, because the mean of its divisors is an integer number (951482).

Almost surely, 266922240 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 66922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102760056).

66922240 is an abundant number, since it is smaller than the sum of its proper divisors (138597872).

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

66922240 is a wasteful number, since it uses less digits than its factorization.

66922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 66922240 is about 8180.6014448817. The cubic root of 66922240 is about 405.9976218648.

The spelling of 66922240 in words is "sixty-six million, nine hundred twenty-two thousand, two hundred forty".