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23281664 = 2147229
BaseRepresentation
bin101100011010…
…0000000000000
31121210211102212
41120310000000
521430003124
62151001252
7401614400
oct130640000
947724385
1023281664
111216194a
127969228
134a92043
143140800
15209d40e
hex1634000

23281664 has 90 divisors (see below), whose sum is σ = 56031570. Its totient is φ = 9633792.

The previous prime is 23281663. The next prime is 23281673. The reversal of 23281664 is 46618232.

It can be written as a sum of positive squares in only one way, i.e., 20070400 + 3211264 = 4480^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23281664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23281663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802802 + ... + 802830.

It is an arithmetic number, because the mean of its divisors is an integer number (622573).

Almost surely, 223281664 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 23281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015785).

23281664 is an abundant number, since it is smaller than the sum of its proper divisors (32749906).

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

23281664 is an frugal number, since it uses more digits than its factorization.

23281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 23281664 is about 4825.1076671925. The cubic root of 23281664 is about 285.5428823365.

Adding to 23281664 its reverse (46618232), we get a palindrome (69899896).

The spelling of 23281664 in words is "twenty-three million, two hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 512 784 812 896 928 1024 1421 1568 1624 1792 1856 2048 2842 3136 3248 3584 3712 4096 5684 6272 6496 7168 7424 8192 11368 12544 12992 14336 14848 16384 22736 25088 25984 28672 29696 45472 50176 51968 57344 59392 90944 100352 103936 114688 118784 181888 200704 207872 237568 363776 401408 415744 475136 727552 802816 831488 1455104 1662976 2910208 3325952 5820416 11640832 23281664