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2066284400 = 24525165711
BaseRepresentation
bin111101100101000…
…1111111101110000
312100000002010022212
41323022033331300
513212432100100
6541011351252
7102130061525
oct17312177560
95300063285
102066284400
11970400064
12497bb2528
1326c1148bb
141585d114c
15c1607635
hex7b28ff70

2066284400 has 30 divisors (see below), whose sum is σ = 4964249232. Its totient is φ = 826513600.

The previous prime is 2066284393. The next prime is 2066284403. The reversal of 2066284400 is 44826602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066284403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2582456 + ... + 2583255.

Almost surely, 22066284400 is an apocalyptic number.

2066284400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066284400 is an abundant number, since it is smaller than the sum of its proper divisors (2897964832).

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

2066284400 is a wasteful number, since it uses less digits than its factorization.

2066284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165729 (or 5165718 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2066284400 is about 45456.4010893955. The cubic root of 2066284400 is about 1273.6889047167.

The spelling of 2066284400 in words is "two billion, sixty-six million, two hundred eighty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5165711 10331422 20662844 25828555 41325688 51657110 82651376 103314220 129142775 206628440 258285550 413256880 516571100 1033142200 2066284400