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229142881968 = 2437111337612113
BaseRepresentation
bin1101010101100111111…
…0101110011010110000
3210220110100202110222020
43111121332232122300
512223241034210333
6253133343111440
722361242234320
oct3253176563260
9726410673866
10229142881968
11891a7201820
12384ab5a2580
13187b9c53130
14b13a773280
155e61be23b3
hex3559fae6b0

229142881968 has 640 divisors, whose sum is σ = 830044207104. Its totient is φ = 52553318400.

The previous prime is 229142881951. The next prime is 229142881973. The reversal of 229142881968 is 869188241922.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108443280 + ... + 108445392.

Almost surely, 2229142881968 is an apocalyptic number.

229142881968 is a gapful number since it is divisible by the number (28) 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 229142881968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415022103552).

229142881968 is an abundant number, since it is smaller than the sum of its proper divisors (600901325136).

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

229142881968 is a wasteful number, since it uses less digits than its factorization.

229142881968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2247 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 60.

The spelling of 229142881968 in words is "two hundred twenty-nine billion, one hundred forty-two million, eight hundred eighty-one thousand, nine hundred sixty-eight".