Search a number
-
+
23338000 = 245371667
BaseRepresentation
bin101100100000…
…1110000010000
31121220200201101
41121001300100
521433304000
62152114144
7402240550
oct131016020
947820641
1023338000
11121a0204
127995954
134ab188a
143157160
1520aee6a
hex1641c10

23338000 has 80 divisors (see below), whose sum is σ = 64531584. Its totient is φ = 7996800.

The previous prime is 23337997. The next prime is 23338001. The reversal of 23338000 is 83332.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23338001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13167 + ... + 14833.

Almost surely, 223338000 is an apocalyptic number.

23338000 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 23338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32265792).

23338000 is an abundant number, since it is smaller than the sum of its proper divisors (41193584).

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

23338000 is a wasteful number, since it uses less digits than its factorization.

23338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 23338000 is about 4830.9419371381. The cubic root of 23338000 is about 285.7730117381.

The spelling of 23338000 in words is "twenty-three million, three hundred thirty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1667 1750 2000 2800 3334 3500 6668 7000 8335 11669 13336 14000 16670 23338 26672 33340 41675 46676 58345 66680 83350 93352 116690 133360 166700 186704 208375 233380 291725 333400 416750 466760 583450 666800 833500 933520 1166900 1458625 1667000 2333800 2917250 3334000 4667600 5834500 11669000 23338000