Search a number
-
+
23206144 = 281319367
BaseRepresentation
bin101100010000…
…1100100000000
31121122222211211
41120201210000
521420044034
62145215504
7401151253
oct130414400
947588754
1023206144
1112110135
127931594
134a66860
14312109a
152085d64
hex1621900

23206144 has 72 divisors (see below), whose sum is σ = 52653440. Its totient is φ = 10119168.

The previous prime is 23206129. The next prime is 23206159. The reversal of 23206144 is 44160232.

It is a happy number.

23206144 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (23206129) and next prime (23206159).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63049 + ... + 63415.

Almost surely, 223206144 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 23206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26326720).

23206144 is an abundant number, since it is smaller than the sum of its proper divisors (29447296).

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

23206144 is a wasteful number, since it uses less digits than its factorization.

23206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 23206144 is about 4817.2755785817. The cubic root of 23206144 is about 285.2338042439.

Adding to 23206144 its reverse (44160232), we get a palindrome (67366376).

It can be divided in two parts, 2320 and 6144, that added together give a square (8464 = 922).

The spelling of 23206144 in words is "twenty-three million, two hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 367 416 494 608 734 832 988 1216 1468 1664 1976 2432 2936 3328 3952 4771 4864 5872 6973 7904 9542 11744 13946 15808 19084 23488 27892 31616 38168 46976 55784 63232 76336 90649 93952 111568 152672 181298 223136 305344 362596 446272 610688 725192 892544 1221376 1450384 1785088 2900768 5801536 11603072 23206144