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229842000000 = 2732561132
BaseRepresentation
bin1101011000001110100…
…1101001100010000000
3210222021002021100121200
43112003221221202000
512231204023000000
6253330555421200
722414461523314
oct3260351514200
9728232240550
10229842000000
11895258a9518
1238665754800
131889ba43c42
14b1a555bb44
155ea328d500
hex3583a69880

229842000000 has 504 divisors, whose sum is σ = 834113248995. Its totient is φ = 60748800000.

The previous prime is 229841999987. The next prime is 229842000001. The reversal of 229842000000 is 248922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 210725066304 + 19116933696 = 459048^2 + 138264^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=339000.

It is not an unprimeable number, because it can be changed into a prime (229842000001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2033999944 + ... + 2034000056.

Almost surely, 2229842000000 is an apocalyptic number.

229842000000 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 229842000000

229842000000 is an abundant number, since it is smaller than the sum of its proper divisors (604271248995).

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

229842000000 is an frugal number, since it uses more digits than its factorization.

229842000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 229842000000 its reverse (248922), we get a palindrome (229842248922).

The spelling of 229842000000 in words is "two hundred twenty-nine billion, eight hundred forty-two million", and thus it is an aban number.