Search a number
-
+
23133800 = 23521031123
BaseRepresentation
bin101100000111…
…1111001101000
31121112022121102
41120033321220
521410240200
62143500532
7400430324
oct130177150
947468542
1023133800
1112070848
1278b7748
134a3c951
143102984
15206e6d5
hex160fe68

23133800 has 48 divisors (see below), whose sum is σ = 54356640. Its totient is φ = 9155520.

The previous prime is 23133757. The next prime is 23133839. The reversal of 23133800 is 833132.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 20039 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (1132430).

Almost surely, 223133800 is an apocalyptic number.

23133800 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 23133800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27178320).

23133800 is an abundant number, since it is smaller than the sum of its proper divisors (31222840).

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

23133800 is a wasteful number, since it uses less digits than its factorization.

23133800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 23133800 is about 4809.7609088186. The cubic root of 23133800 is about 284.9370949707.

Adding to 23133800 its reverse (833132), we get a palindrome (23966932).

The spelling of 23133800 in words is "twenty-three million, one hundred thirty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 1123 2060 2246 2575 4120 4492 5150 5615 8984 10300 11230 20600 22460 28075 44920 56150 112300 115669 224600 231338 462676 578345 925352 1156690 2313380 2891725 4626760 5783450 11566900 23133800