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2298240 = 27335719
BaseRepresentation
bin1000110001000110000000
311022202121000
420301012000
51042020430
6121132000
725351260
oct10610600
94282530
102298240
11132a77a
1292a000
13626109
1443b7a0
15305e60
hex231180

2298240 has 256 divisors, whose sum is σ = 9792000. Its totient is φ = 497664.

The previous prime is 2298223. The next prime is 2298293. The reversal of 2298240 is 428922.

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 31 ways as a sum of consecutive naturals, for example, 120951 + ... + 120969.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

22298240 is an apocalyptic number.

2298240 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 2298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

2298240 is an abundant number, since it is smaller than the sum of its proper divisors (7493760).

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

2298240 is a wasteful number, since it uses less digits than its factorization.

2298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2298240 is about 1515.9947229460. The cubic root of 2298240 is about 131.9669338664.

The spelling of 2298240 in words is "two million, two hundred ninety-eight thousand, two hundred forty".