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229948464 = 2434790593
BaseRepresentation
bin11011011010010…
…11110000110000
3121000200120222210
431231023300300
5432331322324
634452332120
75461346454
oct1555136060
9530616883
10229948464
11108888759
1265014040
13388419a5
142277a664
15152c2d29
hexdb4bc30

229948464 has 20 divisors (see below), whose sum is σ = 594033656. Its totient is φ = 76649472.

The previous prime is 229948441. The next prime is 229948517. The reversal of 229948464 is 464849922.

229948464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 4790593 = 229948464 / (2 + 2 + 9 + 9 + 4 + 8 + 4 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2395249 + ... + 2395344.

Almost surely, 2229948464 is an apocalyptic number.

229948464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229948464 is an abundant number, since it is smaller than the sum of its proper divisors (364085192).

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

229948464 is a wasteful number, since it uses less digits than its factorization.

229948464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790604 (or 4790598 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 229948464 is about 15164.0517013099. The cubic root of 229948464 is about 612.6468021854.

The spelling of 229948464 in words is "two hundred twenty-nine million, nine hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4790593 9581186 14371779 19162372 28743558 38324744 57487116 76649488 114974232 229948464