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2427250000 = 245671973
BaseRepresentation
bin1001000010101100…
…1110010101010000
320021011022002001011
42100223032111100
514432334000000
61040504220304
7114102166420
oct22053162520
96234262034
102427250000
11103613493a
12578a6a694
132c8b3a006
14190514480
15e315a2ba
hex90ace550

2427250000 has 280 divisors, whose sum is σ = 7168658240. Its totient is φ = 777600000.

The previous prime is 2427249973. The next prime is 2427250003. The reversal of 2427250000 is 527242.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427250003) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 33249964 + ... + 33250036.

Almost surely, 22427250000 is an apocalyptic number.

2427250000 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 2427250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584329120).

2427250000 is an abundant number, since it is smaller than the sum of its proper divisors (4741408240).

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

2427250000 is an frugal number, since it uses more digits than its factorization.

2427250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2427250000 is about 49267.1290009881. The cubic root of 2427250000 is about 1343.9140776751.

Adding to 2427250000 its reverse (527242), we get a palindrome (2427777242).

The spelling of 2427250000 in words is "two billion, four hundred twenty-seven million, two hundred fifty thousand".