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2158204800 = 27352224813
BaseRepresentation
bin1000000010100011…
…1001011110000000
312120102001011102010
42000220321132000
513410000023200
6554053452520
7104324303163
oct20050713600
95512034363
102158204800
11a08283234
12502941140
1328518997b
141668bbada
15c9713150
hex80a39780

2158204800 has 96 divisors (see below), whose sum is σ = 7108618680. Its totient is φ = 575518720.

The previous prime is 2158204771. The next prime is 2158204843. The reversal of 2158204800 is 84028512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102807 + ... + 122006.

Almost surely, 22158204800 is an apocalyptic number.

2158204800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2158204800 is an abundant number, since it is smaller than the sum of its proper divisors (4950413880).

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

2158204800 is a wasteful number, since it uses less digits than its factorization.

2158204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224840 (or 224823 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2158204800 is about 46456.4828629977. The cubic root of 2158204800 is about 1292.3025998404.

The spelling of 2158204800 in words is "two billion, one hundred fifty-eight million, two hundred four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 224813 449626 674439 899252 1124065 1348878 1798504 2248130 2697756 3372195 3597008 4496260 5395512 5620325 6744390 7194016 8992520 10791024 11240650 13488780 14388032 16860975 17985040 21582048 22481300 26977560 28776064 33721950 35970080 43164096 44962600 53955120 67443900 71940160 86328192 89925200 107910240 134887800 143880320 179850400 215820480 269775600 359700800 431640960 539551200 719401600 1079102400 2158204800