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232601664 = 2633673301
BaseRepresentation
bin11011101110100…
…11100001000000
3121012200101111110
431313103201000
5434021223124
635025243320
75523036651
oct1567234100
9535611443
10232601664
1110a330089
1265a93540
1339260529
1422c6b528
1515649029
hexddd3840

232601664 has 56 divisors (see below), whose sum is σ = 617289088. Its totient is φ = 77299200.

The previous prime is 232601653. The next prime is 232601717. The reversal of 232601664 is 466106232.

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 7 ways as a sum of consecutive naturals, for example, 68814 + ... + 72114.

Almost surely, 2232601664 is an apocalyptic number.

232601664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308644544).

232601664 is an abundant number, since it is smaller than the sum of its proper divisors (384687424).

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

232601664 is a wasteful number, since it uses less digits than its factorization.

232601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 232601664 is about 15251.2840115185. The cubic root of 232601664 is about 614.9940854742.

Adding to 232601664 its reverse (466106232), we get a palindrome (698707896).

The spelling of 232601664 in words is "two hundred thirty-two million, six hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 367 734 1101 1468 2202 2936 3301 4404 5872 6602 8808 9903 11744 13204 17616 19806 23488 26408 35232 39612 52816 70464 79224 105632 158448 211264 316896 633792 1211467 2422934 3634401 4845868 7268802 9691736 14537604 19383472 29075208 38766944 58150416 77533888 116300832 232601664