Search a number
-
+
23332000 = 255319307
BaseRepresentation
bin101100100000…
…0010010100000
31121220101111011
41121000102200
521433111000
62152030304
7402214216
oct131002240
947811434
1023332000
111219674a
127992394
134aabc23
143154cb6
1520ad2ba
hex16404a0

23332000 has 96 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 8812800.

The previous prime is 23331989. The next prime is 23332003. The reversal of 23332000 is 23332.

It is not an unprimeable number, because it can be changed into a prime (23332003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75847 + ... + 76153.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 223332000 is an apocalyptic number.

23332000 is a gapful number since it is divisible by the number (20) 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 23332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

23332000 is an abundant number, since it is smaller than the sum of its proper divisors (37208480).

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

23332000 is a wasteful number, since it uses less digits than its factorization.

23332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 23332000 is about 4830.3209003129. The cubic root of 23332000 is about 285.7485197075.

Adding to 23332000 its reverse (23332), we get a palindrome (23355332).

23332000 divided by its reverse (23332) gives a cube (1000 = 103).

The spelling of 23332000 in words is "twenty-three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 307 380 400 475 500 608 614 760 800 950 1000 1228 1520 1535 1900 2000 2375 2456 3040 3070 3800 4000 4750 4912 5833 6140 7600 7675 9500 9824 11666 12280 15200 15350 19000 23332 24560 29165 30700 38000 38375 46664 49120 58330 61400 76000 76750 93328 116660 122800 145825 153500 186656 233320 245600 291650 307000 466640 583300 614000 729125 933280 1166600 1228000 1458250 2333200 2916500 4666400 5833000 11666000 23332000