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2245202560 = 27518732
BaseRepresentation
bin1000010111010011…
…0001001010000000
312210110202002220101
42011310301022000
514044232440220
61010442252144
7106431623026
oct20564611200
95713662811
102245202560
11a523a3a07
12527ab7054
1329a1ca233
14174286716
15d219a30a
hex85d31280

2245202560 has 48 divisors (see below), whose sum is σ = 5370304590. Its totient is φ = 897601536.

The previous prime is 2245202551. The next prime is 2245202573. The reversal of 2245202560 is 652025422.

It can be written as a sum of positive squares in 3 ways, for example, as 488586816 + 1756615744 = 22104^2 + 41912^2 .

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 5 ways as a sum of consecutive naturals, for example, 1197784 + ... + 1199656.

Almost surely, 22245202560 is an apocalyptic number.

2245202560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245202560 is an abundant number, since it is smaller than the sum of its proper divisors (3125102030).

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

2245202560 is an frugal number, since it uses more digits than its factorization.

2245202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2245202560 is about 47383.5684599630. The cubic root of 2245202560 is about 1309.4387122067.

Adding to 2245202560 its reverse (652025422), we get a palindrome (2897227982).

The spelling of 2245202560 in words is "two billion, two hundred forty-five million, two hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1873 3746 7492 9365 14984 18730 29968 37460 59936 74920 119872 149840 239744 299680 599360 1198720 3508129 7016258 14032516 17540645 28065032 35081290 56130064 70162580 112260128 140325160 224520256 280650320 449040512 561300640 1122601280 2245202560