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2028002144 = 2573129421
BaseRepresentation
bin111100011100000…
…1101101101100000
312020100001011221112
41320320031231200
513123132032034
6533123042452
7101153506460
oct17070155540
95210034845
102028002144
11950833033
12487210428
132641ccb8c
141534a7ba0
15bd0947ce
hex78e0db60

2028002144 has 72 divisors (see below), whose sum is σ = 4715447184. Its totient is φ = 841017600.

The previous prime is 2028002143. The next prime is 2028002177. The reversal of 2028002144 is 4412008202.

It is a happy number.

It is a super-2 number, since 2×20280021442 = 8225585392137193472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028002143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210554 + ... + 219974.

It is an arithmetic number, because the mean of its divisors is an integer number (65492322).

Almost surely, 22028002144 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 2028002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357723592).

2028002144 is an abundant number, since it is smaller than the sum of its proper divisors (2687445040).

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

2028002144 is an equidigital number, since it uses as much as digits as its factorization.

2028002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2028002144 is about 45033.3448013802. The cubic root of 2028002144 is about 1265.7739006757.

The spelling of 2028002144 in words is "two billion, twenty-eight million, two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 961 992 1736 1922 3472 3844 6727 6944 7688 9421 13454 15376 18842 26908 30752 37684 53816 65947 75368 107632 131894 150736 215264 263788 292051 301472 527576 584102 1055152 1168204 2044357 2110304 2336408 4088714 4672816 8177428 9053581 9345632 16354856 18107162 32709712 36214324 63375067 65419424 72428648 126750134 144857296 253500268 289714592 507000536 1014001072 2028002144