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2243333040 = 2435132194171
BaseRepresentation
bin1000010110110110…
…1000101110110000
312210100020010101220
42011231220232300
514043243124130
61010334225040
7106410005364
oct20555505660
95710203356
102243333040
11a51337353
12527355180
132999c4300
14173d1b2a4
15d1e2b410
hex85b68bb0

2243333040 has 480 divisors, whose sum is σ = 8234472960. Its totient is φ = 503193600.

The previous prime is 2243332967. The next prime is 2243333069. The reversal of 2243333040 is 403333422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2243333040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31596205 + ... + 31596275.

It is an arithmetic number, because the mean of its divisors is an integer number (17155152).

Almost surely, 22243333040 is an apocalyptic number.

2243333040 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 2243333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117236480).

2243333040 is an abundant number, since it is smaller than the sum of its proper divisors (5991139920).

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

2243333040 is a wasteful number, since it uses less digits than its factorization.

2243333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2243333040 is about 47363.8368378239. The cubic root of 2243333040 is about 1309.0751664423.

Adding to 2243333040 its reverse (403333422), we get a palindrome (2646666462).

The spelling of 2243333040 in words is "two billion, two hundred forty-three million, three hundred thirty-three thousand, forty".