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228034368 = 26321492657
BaseRepresentation
bin11011001011110…
…00011101000000
3120220002100100100
431211320131000
5431334044433
634343322400
75436155142
oct1545703500
9526070310
10228034368
111077a0661
1264450400
13383216a3
14223dcc92
1515045b13
hexd978740

228034368 has 84 divisors (see below), whose sum is σ = 658253700. Its totient is φ = 75472896.

The previous prime is 228034343. The next prime is 228034399. The reversal of 228034368 is 863430822.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 145733184 = 9072^2 + 12072^2 .

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 84496 + ... + 87152.

Almost surely, 2228034368 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 228034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329126850).

228034368 is an abundant number, since it is smaller than the sum of its proper divisors (430219332).

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

228034368 is a wasteful number, since it uses less digits than its factorization.

228034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 228034368 is about 15100.8068658599. The cubic root of 228034368 is about 610.9421685089.

The spelling of 228034368 in words is "two hundred twenty-eight million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 149 192 288 298 447 576 596 894 1192 1341 1788 2384 2657 2682 3576 4768 5314 5364 7152 7971 9536 10628 10728 14304 15942 21256 21456 23913 28608 31884 42512 42912 47826 63768 85024 85824 95652 127536 170048 191304 255072 382608 395893 510144 765216 791786 1187679 1530432 1583572 2375358 3167144 3563037 4750716 6334288 7126074 9501432 12668576 14252148 19002864 25337152 28504296 38005728 57008592 76011456 114017184 228034368