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2293106580 = 22325193143503
BaseRepresentation
bin1000100010101110…
…0000011110010100
312220210212212212100
42020223200132110
514144013402310
61015313122100
7110553040632
oct21053403624
95823785770
102293106580
11a77442a06
1253bb59330
132a71005cb
1417a796352
15d64adec0
hex88ae0794

2293106580 has 288 divisors, whose sum is σ = 7749181440. Its totient is φ = 546497280.

The previous prime is 2293106579. The next prime is 2293106581. The reversal of 2293106580 is 856013922.

It is an interprime number because it is at equal distance from previous prime (2293106579) and next prime (2293106581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293106581) 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 95 ways as a sum of consecutive naturals, for example, 4558609 + ... + 4559111.

It is an arithmetic number, because the mean of its divisors is an integer number (26906880).

Almost surely, 22293106580 is an apocalyptic number.

2293106580 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 2293106580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

2293106580 is an abundant number, since it is smaller than the sum of its proper divisors (5456074860).

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

2293106580 is a wasteful number, since it uses less digits than its factorization.

2293106580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2293106580 is about 47886.3924304181. The cubic root of 2293106580 is about 1318.6860547747.

The spelling of 2293106580 in words is "two billion, two hundred ninety-three million, one hundred six thousand, five hundred eighty".