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228466480 = 24511259621
BaseRepresentation
bin11011001111000…
…01111100110000
3120220220022002111
431213201330300
5431441411410
634400455104
75442635014
oct1547417460
9526808074
10228466480
11107a66280
126461a494
1338443288
14224b2544
15150cdb8a
hexd9e1f30

228466480 has 40 divisors (see below), whose sum is σ = 579476304. Its totient is φ = 83078400.

The previous prime is 228466477. The next prime is 228466487. The reversal of 228466480 is 84664822.

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

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (228466487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128931 + ... + 130690.

Almost surely, 2228466480 is an apocalyptic number.

228466480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228466480 is an abundant number, since it is smaller than the sum of its proper divisors (351009824).

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

228466480 is a wasteful number, since it uses less digits than its factorization.

228466480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259645 (or 259639 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 228466480 is about 15115.1076741120. The cubic root of 228466480 is about 611.3278250920.

It can be divided in two parts, 2 and 28466480, that added together give a palindrome (28466482).

The spelling of 228466480 in words is "two hundred twenty-eight million, four hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 259621 519242 1038484 1298105 2076968 2596210 2855831 4153936 5192420 5711662 10384840 11423324 14279155 20769680 22846648 28558310 45693296 57116620 114233240 228466480