Search a number
-
+
2300242500 = 223254102233
BaseRepresentation
bin1000100100011010…
…1110101001000100
312221022022102111200
42021012232221010
514202330230000
61020130102500
7111000511233
oct21106565104
95838272450
102300242500
11a80477266
1254241aa30
132a872b64a
1417b6d2b1a
15d6e1d500
hex891aea44

2300242500 has 90 divisors (see below), whose sum is σ = 7265872614. Its totient is φ = 613392000.

The previous prime is 2300242487. The next prime is 2300242519. The reversal of 2300242500 is 52420032.

It can be written as a sum of positive squares in 5 ways, for example, as 944824644 + 1355417856 = 30738^2 + 36816^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×23002425002 = 10582231117612500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28617 + ... + 73616.

Almost surely, 22300242500 is an apocalyptic number.

2300242500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300242500 is an abundant number, since it is smaller than the sum of its proper divisors (4965630114).

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

2300242500 is a wasteful number, since it uses less digits than its factorization.

2300242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102263 (or 102243 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2300242500 is about 47960.8434037601. The cubic root of 2300242500 is about 1320.0525116851.

Adding to 2300242500 its reverse (52420032), we get a palindrome (2352662532).

The spelling of 2300242500 in words is "two billion, three hundred million, two hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 102233 204466 306699 408932 511165 613398 920097 1022330 1226796 1533495 1840194 2044660 2555825 3066990 3680388 4600485 5111650 6133980 7667475 9200970 10223300 12779125 15334950 18401940 23002425 25558250 30669900 38337375 46004850 51116500 63895625 76674750 92009700 115012125 127791250 153349500 191686875 230024250 255582500 383373750 460048500 575060625 766747500 1150121250 2300242500