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2290500720 = 243353179433
BaseRepresentation
bin1000100010000110…
…0100010001110000
312220121222111022000
42020201210101300
514142332010340
61015141214000
7110521635444
oct21041442160
95817874260
102290500720
11a75a23102
1253b101300
132a66ca491
1417a2b8824
15d6146d30
hex88864470

2290500720 has 320 divisors, whose sum is σ = 8266137600. Its totient is φ = 582266880.

The previous prime is 2290500697. The next prime is 2290500721. The reversal of 2290500720 is 270050922.

It is a happy number.

2290500720 is a `hidden beast` number, since 2 + 2 + 90 + 500 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290500721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5289624 + ... + 5290056.

It is an arithmetic number, because the mean of its divisors is an integer number (25831680).

Almost surely, 22290500720 is an apocalyptic number.

2290500720 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 2290500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133068800).

2290500720 is an abundant number, since it is smaller than the sum of its proper divisors (5975636880).

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

2290500720 is a wasteful number, since it uses less digits than its factorization.

2290500720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2290500720 is about 47859.1759227005. The cubic root of 2290500720 is about 1318.1863522087.

The spelling of 2290500720 in words is "two billion, two hundred ninety million, five hundred thousand, seven hundred twenty".