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2293712080 = 2451117229311
BaseRepresentation
bin1000100010110111…
…0100010011010000
312220212000122110021
42020231310103100
514144142241310
61015334113224
7110561142142
oct21055642320
95825018407
102293712080
11a77816920
125401ab814
132a72830aa
1417a8b2c92
15d657d5da
hex88b744d0

2293712080 has 240 divisors, whose sum is σ = 6413696640. Its totient is φ = 755507200.

The previous prime is 2293712059. The next prime is 2293712089. The reversal of 2293712080 is 802173922.

It is a super-2 number, since 2×22937120802 = 10522230211875852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293712089) 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 47 ways as a sum of consecutive naturals, for example, 7375125 + ... + 7375435.

It is an arithmetic number, because the mean of its divisors is an integer number (26723736).

Almost surely, 22293712080 is an apocalyptic number.

2293712080 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 2293712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206848320).

2293712080 is an abundant number, since it is smaller than the sum of its proper divisors (4119984560).

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

2293712080 is a wasteful number, since it uses less digits than its factorization.

2293712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2293712080 is about 47892.7142684563. The cubic root of 2293712080 is about 1318.8021119094.

The spelling of 2293712080 in words is "two billion, two hundred ninety-three million, seven hundred twelve thousand, eighty".