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228480516 = 2232111513821
BaseRepresentation
bin11011001111001…
…01011000000100
3120220221000100100
431213211120010
5431442334031
634401044100
75443023645
oct1547453004
9526830310
10228480516
11107a75880
1264626630
1338449794
14224b76cc
15150d2de6
hexd9e5604

228480516 has 72 divisors (see below), whose sum is σ = 634390848. Its totient is φ = 68760000.

The previous prime is 228480487. The next prime is 228480557. The reversal of 228480516 is 615084822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 57886 + ... + 61706.

It is an arithmetic number, because the mean of its divisors is an integer number (8810984).

Almost surely, 2228480516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228480516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317195424).

228480516 is an abundant number, since it is smaller than the sum of its proper divisors (405910332).

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

228480516 is a wasteful number, since it uses less digits than its factorization.

228480516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 228480516 is about 15115.5719706533. The cubic root of 228480516 is about 611.3403439550.

The spelling of 228480516 in words is "two hundred twenty-eight million, four hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 453 604 906 1359 1661 1812 2718 3322 3821 4983 5436 6644 7642 9966 11463 14949 15284 19932 22926 29898 34389 42031 45852 59796 68778 84062 126093 137556 168124 252186 378279 504372 576971 756558 1153942 1513116 1730913 2307884 3461826 5192739 6346681 6923652 10385478 12693362 19040043 20770956 25386724 38080086 57120129 76160172 114240258 228480516