Search a number
-
+
23033820 = 2235715407
BaseRepresentation
bin101011111011…
…1011111011100
31121100020110110
41113313133130
521344040240
62141410020
7366532665
oct127673734
947306413
1023033820
1112002717
127869910
134a062a4
1430b836c
15204ec80
hex15f77dc

23033820 has 48 divisors (see below), whose sum is σ = 65415168. Its totient is φ = 6054720.

The previous prime is 23033819. The next prime is 23033821. The reversal of 23033820 is 2833032.

It is an interprime number because it is at equal distance from previous prime (23033819) and next prime (23033821).

It is a super-4 number, since 4×230338204 (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23033821) 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, 1557 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816).

Almost surely, 223033820 is an apocalyptic number.

23033820 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 23033820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584).

23033820 is an abundant number, since it is smaller than the sum of its proper divisors (42381348).

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

23033820 is a wasteful number, since it uses less digits than its factorization.

23033820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23033820 is about 4799.3562068261. The cubic root of 23033820 is about 284.5260204167.

Adding to 23033820 its reverse (2833032), we get a palindrome (25866852).

The spelling of 23033820 in words is "twenty-three million, thirty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 5407 10814 16221 21628 27035 32442 54070 64884 81105 108140 162210 324420 383897 767794 1151691 1535588 1919485 2303382 3838970 4606764 5758455 7677940 11516910 23033820