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2241630720 = 29335741113
BaseRepresentation
bin1000010110011100…
…1001001000000000
312210020000122021000
42011213021020000
514042324140340
61010233532000
7106356355350
oct20547111000
95706018230
102241630720
11a5038437a
12526874000
13299549514
141739d6b60
15d1be1d30
hex859c9200

2241630720 has 640 divisors, whose sum is σ = 9404398080. Its totient is φ = 495452160.

The previous prime is 2241630709. The next prime is 2241630733. The reversal of 2241630720 is 270361422.

2241630720 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 630 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19837384 + ... + 19837496.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372).

Almost surely, 22241630720 is an apocalyptic number.

2241630720 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 2241630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702199040).

2241630720 is an abundant number, since it is smaller than the sum of its proper divisors (7162767360).

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

2241630720 is a wasteful number, since it uses less digits than its factorization.

2241630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2241630720 is about 47345.8627548385. The cubic root of 2241630720 is about 1308.7439585603.

The spelling of 2241630720 in words is "two billion, two hundred forty-one million, six hundred thirty thousand, seven hundred twenty".