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229727798976 = 263131374631451
BaseRepresentation
bin1101010111110011011…
…0000000011011000000
3210221222010101100021010
43111330312000123000
512230440304031401
6253311400000520
722411604033604
oct3257466003300
9727863340233
10229727798976
1189477398605
1238633460140
131888119a680
14b194311504
155e98230ed6
hex357cd806c0

229727798976 has 224 divisors, whose sum is σ = 661234387968. Its totient is φ = 69969715200.

The previous prime is 229727798959. The next prime is 229727798977. The reversal of 229727798976 is 679897727922.

It is a junction number, because it is equal to n+sod(n) for n = 229727798898 and 229727798907.

It is not an unprimeable number, because it can be changed into a prime (229727798977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 158323051 + ... + 158324501.

It is an arithmetic number, because the mean of its divisors is an integer number (2951939232).

Almost surely, 2229727798976 is an apocalyptic number.

229727798976 is a gapful number since it is divisible by the number (26) 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 229727798976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330617193984).

229727798976 is an abundant number, since it is smaller than the sum of its proper divisors (431506588992).

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

229727798976 is a wasteful number, since it uses less digits than its factorization.

229727798976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

The product of its digits is 672126336, while the sum is 75.

The spelling of 229727798976 in words is "two hundred twenty-nine billion, seven hundred twenty-seven million, seven hundred ninety-eight thousand, nine hundred seventy-six".