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2248300400 = 245219291012
BaseRepresentation
bin1000011000000010…
…0101011101110000
312210200120111100012
42012000211131300
514101031103100
61011032514052
7106500144443
oct20600453560
95720514305
102248300400
11a5411a405
12528b4b928
1329aa43288
1417485165a
15d25ad135
hex86025770

2248300400 has 180 divisors, whose sum is σ = 5940709800. Its totient is φ = 814464000.

The previous prime is 2248300399. The next prime is 2248300409. The reversal of 2248300400 is 40038422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248300409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22260350 + ... + 22260450.

Almost surely, 22248300400 is an apocalyptic number.

2248300400 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 2248300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970354900).

2248300400 is an abundant number, since it is smaller than the sum of its proper divisors (3692409400).

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

2248300400 is a wasteful number, since it uses less digits than its factorization.

2248300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2248300400 is about 47416.2461609942. The cubic root of 2248300400 is about 1310.0406723576.

Adding to 2248300400 its reverse (40038422), we get a palindrome (2288338822).

The spelling of 2248300400 in words is "two billion, two hundred forty-eight million, three hundred thousand, four hundred".