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2020502500 = 2254292312
BaseRepresentation
bin111100001101110…
…0110101111100100
312012210221011100221
41320123212233210
513114222040000
6532254214124
7101032662562
oct17033465744
95183834327
102020502500
11947580485
124847b4344
132627a5413
141524b4a32
15bc5b261a
hex786e6be4

2020502500 has 135 divisors (see below), whose sum is σ = 4728424701. Its totient is φ = 755160000.

The previous prime is 2020502483. The next prime is 2020502527. The reversal of 2020502500 is 52050202.

The square root of 2020502500 is 44950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1511187876 + 509314624 = 38874^2 + 22568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65177485 + ... + 65177515.

Almost surely, 22020502500 is an apocalyptic number.

2020502500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2020502500 is the 44950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020502500

2020502500 is an abundant number, since it is smaller than the sum of its proper divisors (2707922201).

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

2020502500 is an equidigital number, since it uses as much as digits as its factorization.

2020502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The cubic root of 2020502500 is about 1264.2116769152.

Multiplying 2020502500 by its sum of digits (16), we get a square (32328040000 = 1798002).

Adding to 2020502500 its reverse (52050202), we get a palindrome (2072552702).

The spelling of 2020502500 in words is "two billion, twenty million, five hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 125 145 155 250 290 310 500 580 620 625 725 775 841 899 961 1250 1450 1550 1682 1798 1922 2500 2900 3100 3364 3596 3625 3844 3875 4205 4495 4805 7250 7750 8410 8990 9610 14500 15500 16820 17980 18125 19220 19375 21025 22475 24025 26071 27869 36250 38750 42050 44950 48050 52142 55738 72500 77500 84100 89900 96100 104284 105125 111476 112375 120125 130355 139345 210250 224750 240250 260710 278690 420500 449500 480500 521420 525625 557380 561875 600625 651775 696725 808201 1051250 1123750 1201250 1303550 1393450 1616402 2102500 2247500 2402500 2607100 2786900 3232804 3258875 3483625 4041005 6517750 6967250 8082010 13035500 13934500 16164020 16294375 17418125 20205025 32588750 34836250 40410050 65177500 69672500 80820100 101025125 202050250 404100500 505125625 1010251250 2020502500