Search a number
-
+
2545400200 = 235273749139
BaseRepresentation
bin1001011110110111…
…1011100110001000
320120101121201122111
42113231323212020
520203110301300
61100324432104
7120035354560
oct22755734610
96511551574
102545400200
1110968a2932
125b0548634
13317466c85
141a20abda0
15ed6e79ba
hex97b7b988

2545400200 has 96 divisors (see below), whose sum is σ = 6946430400. Its totient is φ = 849104640.

The previous prime is 2545400159. The next prime is 2545400203. The reversal of 2545400200 is 20045452.

It is not an unprimeable number, because it can be changed into a prime (2545400203) 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, 27231 + ... + 76369.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 22545400200 is an apocalyptic number.

2545400200 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 2545400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473215200).

2545400200 is an abundant number, since it is smaller than the sum of its proper divisors (4401030200).

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

2545400200 is a wasteful number, since it uses less digits than its factorization.

2545400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49199 (or 49190 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2545400200 is about 50451.9593276614. The cubic root of 2545400200 is about 1365.3752451323.

Adding to 2545400200 its reverse (20045452), we get a palindrome (2565445652).

The spelling of 2545400200 in words is "two billion, five hundred forty-five million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 140 148 175 185 200 259 280 296 350 370 518 700 740 925 1036 1295 1400 1480 1850 2072 2590 3700 5180 6475 7400 10360 12950 25900 49139 51800 98278 196556 245695 343973 393112 491390 687946 982780 1228475 1375892 1719865 1818143 1965560 2456950 2751784 3439730 3636286 4913900 6879460 7272572 8599325 9090715 9827800 12727001 13758920 14545144 17198650 18181430 25454002 34397300 36362860 45453575 50908004 63635005 68794600 72725720 90907150 101816008 127270010 181814300 254540020 318175025 363628600 509080040 636350050 1272700100 2545400200