Search a number
-
+
2512203300 = 22325229101953
BaseRepresentation
bin1001010110111101…
…0010111000100100
320111002011011001200
42111233102320210
520121111001200
61053141122500
7116153242605
oct22557227044
96432134050
102512203300
11107a089582
125a13b9430
13310612b39
1419b909dac
15ea83b800
hex95bd2e24

2512203300 has 216 divisors, whose sum is σ = 8235176040. Its totient is φ = 639744000.

The previous prime is 2512203299. The next prime is 2512203479. The reversal of 2512203300 is 33022152.

2512203300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 180472356 + 2331730944 = 13434^2 + 48288^2 .

It is a super-2 number, since 2×25122033002 = 12622330841061780000, 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2635624 + ... + 2636576.

It is an arithmetic number, because the mean of its divisors is an integer number (38125815).

Almost surely, 22512203300 is an apocalyptic number.

2512203300 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 2512203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117588020).

2512203300 is an abundant number, since it is smaller than the sum of its proper divisors (5722972740).

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

2512203300 is a wasteful number, since it uses less digits than its factorization.

2512203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2512203300 is about 50121.8844418284. The cubic root of 2512203300 is about 1359.4135483321.

Adding to 2512203300 its reverse (33022152), we get a palindrome (2545225452).

The spelling of 2512203300 in words is "two billion, five hundred twelve million, two hundred three thousand, three hundred".