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2243159424 = 273211229773
BaseRepresentation
bin1000010110110011…
…1110010110000000
312210022220022020200
42011230332112000
514043222100144
61010330405200
7106405353252
oct20554762600
95708808220
102243159424
11a51228970
12527290800
1329996328c
14173cb3cd2
15d1de4c69
hex85b3e580

2243159424 has 192 divisors, whose sum is σ = 7081635600. Its totient is φ = 675901440.

The previous prime is 2243159423. The next prime is 2243159431. The reversal of 2243159424 is 4249513422.

It is a happy number.

2243159424 is a `hidden beast` number, since 2 + 2 + 43 + 1 + 594 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243159423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2901502 + ... + 2902274.

Almost surely, 22243159424 is an apocalyptic number.

2243159424 is a gapful number since it is divisible by the number (24) 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 2243159424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540817800).

2243159424 is an abundant number, since it is smaller than the sum of its proper divisors (4838476176).

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

2243159424 is a wasteful number, since it uses less digits than its factorization.

2243159424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1018 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2243159424 is about 47362.0040116547. The cubic root of 2243159424 is about 1309.0413949286.

The spelling of 2243159424 in words is "two billion, two hundred forty-three million, one hundred fifty-nine thousand, four hundred twenty-four".