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1242228240 = 2432511672341
BaseRepresentation
bin100101000001010…
…1110011000010000
310012120110201210100
41022002232120100
510021002300430
6323133132400
742532523451
oct11202563020
93176421710
101242228240
11588229510
122a802a100
1316a48b2c6
14bada3128
15740cc960
hex4a0ae610

1242228240 has 240 divisors, whose sum is σ = 4620972096. Its totient is φ = 296524800.

The previous prime is 1242228223. The next prime is 1242228259. The reversal of 1242228240 is 428222421.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529470 + ... + 531810.

Almost surely, 21242228240 is an apocalyptic number.

1242228240 is a gapful number since it is divisible by the number (10) 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 1242228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310486048).

1242228240 is an abundant number, since it is smaller than the sum of its proper divisors (3378743856).

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

1242228240 is a wasteful number, since it uses less digits than its factorization.

1242228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1242228240 is about 35245.2584045003. The cubic root of 1242228240 is about 1074.9802022675.

The spelling of 1242228240 in words is "one billion, two hundred forty-two million, two hundred twenty-eight thousand, two hundred forty".