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332226864 = 243217912889
BaseRepresentation
bin10011110011010…
…110000100110000
3212011010212120200
4103303112010300
51140022224424
652544435200
711142611304
oct2363260460
9764125520
10332226864
11160595a62
1293318b00
1353aa2558
14321a1d04
151e2778c9
hex13cd6130

332226864 has 60 divisors (see below), whose sum is σ = 935040600. Its totient is φ = 110115072.

The previous prime is 332226841. The next prime is 332226887. The reversal of 332226864 is 468622233.

332226864 is a `hidden beast` number, since 332 + 2 + 268 + 64 = 666.

332226864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (332226841) and next prime (332226887).

It is a super-2 number, since 2×3322268642 = 220749378326548992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 19332 + ... + 32220.

It is an arithmetic number, because the mean of its divisors is an integer number (15584010).

Almost surely, 2332226864 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 332226864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467520300).

332226864 is an abundant number, since it is smaller than the sum of its proper divisors (602813736).

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

332226864 is a wasteful number, since it uses less digits than its factorization.

332226864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082 (or 13073 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 332226864 is about 18227.0914849298. The cubic root of 332226864 is about 692.5932409303.

The spelling of 332226864 in words is "three hundred thirty-two million, two hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6444 8592 12888 12889 25776 25778 38667 51556 77334 103112 116001 154668 206224 232002 309336 464004 618672 928008 1856016 2307131 4614262 6921393 9228524 13842786 18457048 20764179 27685572 36914096 41528358 55371144 83056716 110742288 166113432 332226864