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2240000 = 29547
BaseRepresentation
bin1000100010111000000000
311012210200222
420202320000
51033140000
6120002212
725016420
oct10427000
94183628
102240000
11129aa44
12900368
13605759
14424480
152e3a85
hex222e00

2240000 has 100 divisors (see below), whose sum is σ = 6391704. Its totient is φ = 768000.

The previous prime is 2239997. The next prime is 2240003. The reversal of 2240000 is 422.

It is an interprime number because it is at equal distance from previous prime (2239997) and next prime (2240003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319997 + ... + 320003.

22240000 is an apocalyptic number.

2240000 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 2240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195852).

2240000 is an abundant number, since it is smaller than the sum of its proper divisors (4151704).

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

2240000 is an frugal number, since it uses more digits than its factorization.

2240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2240000 is about 1496.6629547096. The cubic root of 2240000 is about 130.8426524075.

Adding to 2240000 its reverse (422), we get a palindrome (2240422).

The spelling of 2240000 in words is "two million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 625 640 700 800 875 896 1000 1120 1250 1280 1400 1600 1750 1792 2000 2240 2500 2560 2800 3200 3500 3584 4000 4375 4480 5000 5600 6400 7000 8000 8750 8960 10000 11200 12800 14000 16000 17500 17920 20000 22400 28000 32000 35000 40000 44800 56000 64000 70000 80000 89600 112000 140000 160000 224000 280000 320000 448000 560000 1120000 2240000