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229428080640 = 212365112127
BaseRepresentation
bin1101010110101011111…
…0101011000000000000
3210221012020102002000000
43111222332223000000
512224332042040030
6253221532000000
722401304336323
oct3255276530000
9727166362000
10229428080640
1189333196800
123856b000000
131883406ab45
14b1665b27ba
155e7bc7a860
hex356afab000

229428080640 has 1092 divisors, whose sum is σ = 914471023872. Its totient is φ = 55180984320.

The previous prime is 229428080593. The next prime is 229428080647. The reversal of 229428080640 is 46080824922.

229428080640 is a `hidden beast` number, since 2 + 294 + 280 + 80 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229428080647) 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 83 ways as a sum of consecutive naturals, for example, 1806520257 + ... + 1806520383.

Almost surely, 2229428080640 is an apocalyptic number.

229428080640 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 229428080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457235511936).

229428080640 is an abundant number, since it is smaller than the sum of its proper divisors (685042943232).

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

229428080640 is an equidigital number, since it uses as much as digits as its factorization.

229428080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 229428080640 in words is "two hundred twenty-nine billion, four hundred twenty-eight million, eighty thousand, six hundred forty".