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2253044500 = 22537291961
BaseRepresentation
bin1000011001001010…
…1011101100010100
312211000111112000121
42012102223230110
514103234411000
61011322321324
7106555363600
oct20622535424
95730445017
102253044500
11a5686a753
1252a659244
1329ba14735
14175328500
15d2be8b1a
hex864abb14

2253044500 has 72 divisors (see below), whose sum is σ = 5724082728. Its totient is φ = 772464000.

The previous prime is 2253044489. The next prime is 2253044509. The reversal of 2253044500 is 54403522.

It can be written as a sum of positive squares in 4 ways, for example, as 196784784 + 2056259716 = 14028^2 + 45346^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253044509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21481 + ... + 70480.

It is an arithmetic number, because the mean of its divisors is an integer number (79501149).

Almost surely, 22253044500 is an apocalyptic number.

2253044500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253044500 is an abundant number, since it is smaller than the sum of its proper divisors (3471038228).

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

2253044500 is a wasteful number, since it uses less digits than its factorization.

2253044500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91994 (or 91975 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2253044500 is about 47466.2459016931. The cubic root of 2253044500 is about 1310.9614564468.

The spelling of 2253044500 in words is "two billion, two hundred fifty-three million, forty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 875 980 1225 1750 2450 3500 4900 6125 12250 24500 91961 183922 367844 459805 643727 919610 1287454 1839220 2299025 2574908 3218635 4506089 4598050 6437270 9012178 9196100 11495125 12874540 16093175 18024356 22530445 22990250 32186350 45060890 45980500 64372700 80465875 90121780 112652225 160931750 225304450 321863500 450608900 563261125 1126522250 2253044500