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229822472880 = 243457112133221
BaseRepresentation
bin1101011000001001111…
…1001010001010110000
3210222012201112021110000
43112002133022022300
512231134023113010
6253325021110000
722414133534040
oct3260237121260
9728181467400
10229822472880
1189515881500
123865b0b8300
1318897997b30
14b1a2b17720
155ea16d27c0
hex35827ca2b0

229822472880 has 1200 divisors, whose sum is σ = 1080173489472. Its totient is φ = 44068147200.

The previous prime is 229822472861. The next prime is 229822472923. The reversal of 229822472880 is 88274228922.

229822472880 is a `hidden beast` number, since 2 + 2 + 98 + 2 + 2 + 472 + 8 + 80 = 666.

229822472880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71349670 + ... + 71352890.

Almost surely, 2229822472880 is an apocalyptic number.

229822472880 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 229822472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540086744736).

229822472880 is an abundant number, since it is smaller than the sum of its proper divisors (850351016592).

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

229822472880 is a wasteful number, since it uses less digits than its factorization.

229822472880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 229822472880 in words is "two hundred twenty-nine billion, eight hundred twenty-two million, four hundred seventy-two thousand, eight hundred eighty".