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2293097040 = 2434513163167
BaseRepresentation
bin1000100010101101…
…1110001001010000
312220210212101210000
42020223132021100
514144013101130
61015313010000
7110553001053
oct21053361120
95823771700
102293097040
11a77436823
1253bb53900
132a70c9170
1417a792a9a
15d64ab260
hex88ade250

2293097040 has 400 divisors, whose sum is σ = 8681194368. Its totient is φ = 557632512.

The previous prime is 2293097029. The next prime is 2293097069. The reversal of 2293097040 is 407903922.

It is a super-3 number, since 3×22930970403 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2293096986 and 2293097004.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 13731037 + ... + 13731203.

Almost surely, 22293097040 is an apocalyptic number.

2293097040 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 2293097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340597184).

2293097040 is an abundant number, since it is smaller than the sum of its proper divisors (6388097328).

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

2293097040 is a wasteful number, since it uses less digits than its factorization.

2293097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2293097040 is about 47886.2928195533. The cubic root of 2293097040 is about 1318.6842260645.

The spelling of 2293097040 in words is "two billion, two hundred ninety-three million, ninety-seven thousand, forty".