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228254304 = 25311931993
BaseRepresentation
bin11011001101011…
…10001001100000
3120220111112001010
431212232021200
5431413114204
634352140520
75441062305
oct1546561140
9526445033
10228254304
11107930923
1264537740
133839a825
14224590ac
151508ad89
hexd9ae260

228254304 has 48 divisors (see below), whose sum is σ = 599970672. Its totient is φ = 75982848.

The previous prime is 228254287. The next prime is 228254309. The reversal of 228254304 is 403452822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228254309) by changing a digit.

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, 113532 + ... + 115524.

It is an arithmetic number, because the mean of its divisors is an integer number (12499389).

Almost surely, 2228254304 is an apocalyptic number.

228254304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228254304 is an abundant number, since it is smaller than the sum of its proper divisors (371716368).

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

228254304 is a wasteful number, since it uses less digits than its factorization.

228254304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 228254304 is about 15108.0873706767. The cubic root of 228254304 is about 611.1385204921.

The spelling of 228254304 in words is "two hundred twenty-eight million, two hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1193 1993 2386 3579 3986 4772 5979 7158 7972 9544 11958 14316 15944 19088 23916 28632 31888 38176 47832 57264 63776 95664 114528 191328 2377649 4755298 7132947 9510596 14265894 19021192 28531788 38042384 57063576 76084768 114127152 228254304