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2055665000 = 23542914177
BaseRepresentation
bin111101010000110…
…1111010101101000
312022021002121020202
41322201233111220
513202222240000
6535552011332
7101640602264
oct17241572550
95267077222
102055665000
119654075a4
12494530b48
13269b6712c
141570290a4
15c070add5
hex7a86f568

2055665000 has 80 divisors (see below), whose sum is σ = 4982858100. Its totient is φ = 793856000.

The previous prime is 2055664993. The next prime is 2055665021. The reversal of 2055665000 is 5665502.

It can be written as a sum of positive squares in 10 ways, for example, as 15697444 + 2039967556 = 3962^2 + 45166^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137912 + ... + 152088.

Almost surely, 22055665000 is an apocalyptic number.

2055665000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491429050).

2055665000 is an abundant number, since it is smaller than the sum of its proper divisors (2927193100).

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

2055665000 is a wasteful number, since it uses less digits than its factorization.

2055665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14232 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 2055665000 is about 45339.4419903907. The cubic root of 2055665000 is about 1271.5031698254.

The spelling of 2055665000 in words is "two billion, fifty-five million, six hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3625 5000 5800 7250 14177 14500 18125 28354 29000 36250 56708 70885 72500 113416 141770 145000 283540 354425 411133 567080 708850 822266 1417700 1644532 1772125 2055665 2835400 3289064 3544250 4111330 7088500 8222660 8860625 10278325 14177000 16445320 17721250 20556650 35442500 41113300 51391625 70885000 82226600 102783250 205566500 256958125 411133000 513916250 1027832500 2055665000