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2225730000 = 24354132439
BaseRepresentation
bin1000010010101001…
…1111000111010000
312202010002210120110
42010222133013100
514024241330000
61004505041320
7106104251514
oct20452370720
95663083513
102225730000
11a4240398a
12521486240
1329616cc00
14171858144
15d0600850
hex84a9f1d0

2225730000 has 300 divisors, whose sum is σ = 7797878880. Its totient is φ = 546624000.

The previous prime is 2225729959. The next prime is 2225730007. The reversal of 2225730000 is 375222.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225730007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5069781 + ... + 5070219.

Almost surely, 22225730000 is an apocalyptic number.

2225730000 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 2225730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898939440).

2225730000 is an abundant number, since it is smaller than the sum of its proper divisors (5572148880).

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

2225730000 is a wasteful number, since it uses less digits than its factorization.

2225730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2225730000 is about 47177.6430102225. The cubic root of 2225730000 is about 1305.6421437130.

The spelling of 2225730000 in words is "two billion, two hundred twenty-five million, seven hundred thirty thousand".