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229953840 = 2435958141
BaseRepresentation
bin11011011010011…
…01000100110000
3121000200212100220
431231031010300
5432332010330
634452413040
75461401234
oct1555150460
9530625326
10229953840
111088917a6
1265017180
133884427c
142277c5c4
15152c4710
hexdb4d130

229953840 has 40 divisors (see below), whose sum is σ = 712857648. Its totient is φ = 61320960.

The previous prime is 229953833. The next prime is 229953859. The reversal of 229953840 is 48359922.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 229953792 and 229953801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478831 + ... + 479310.

Almost surely, 2229953840 is an apocalyptic number.

229953840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229953840 is an abundant number, since it is smaller than the sum of its proper divisors (482903808).

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

229953840 is a wasteful number, since it uses less digits than its factorization.

229953840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958157 (or 958151 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 229953840 is about 15164.2289616057. The cubic root of 229953840 is about 612.6515765357.

The spelling of 229953840 in words is "two hundred twenty-nine million, nine hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 958141 1916282 2874423 3832564 4790705 5748846 7665128 9581410 11497692 14372115 15330256 19162820 22995384 28744230 38325640 45990768 57488460 76651280 114976920 229953840