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2047224312 = 233273194363
BaseRepresentation
bin111101000000110…
…0010100111111000
312021200012202210200
41322001202213320
513143042134222
6535051042200
7101506056000
oct17201424770
95250182720
102047224312
11960671a21
12491740360
132681a0243
14155c6d000
15beadeeac
hex7a0629f8

2047224312 has 192 divisors, whose sum is σ = 6807840000. Its totient is φ = 554008896.

The previous prime is 2047224229. The next prime is 2047224313. The reversal of 2047224312 is 2134227402.

2047224312 is a `hidden beast` number, since 204 + 7 + 22 + 431 + 2 = 666.

It is a super-2 number, since 2×20472243122 = 8382254767287746688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047224313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467043 + ... + 471405.

It is an arithmetic number, because the mean of its divisors is an integer number (35457500).

Almost surely, 22047224312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403920000).

2047224312 is an abundant number, since it is smaller than the sum of its proper divisors (4760615688).

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

2047224312 is a wasteful number, since it uses less digits than its factorization.

2047224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2047224312 is about 45246.2629617077. The cubic root of 2047224312 is about 1269.7604921687.

The spelling of 2047224312 in words is "two billion, forty-seven million, two hundred twenty-four thousand, three hundred twelve".