Search a number
-
+
23227540 = 2257251661
BaseRepresentation
bin101100010011…
…0110010010100
31121201002012021
41120212302110
521421240130
62145502524
7401300530
oct130466224
947632167
1023227540
1112125216
127941a44
134a7350b
143128bc0
15208c37a
hex1626c94

23227540 has 48 divisors (see below), whose sum is σ = 56052864. Its totient is φ = 7920000.

The previous prime is 23227531. The next prime is 23227543. The reversal of 23227540 is 4572232.

It is a super-2 number, since 2×232275402 = 1079037228903200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23227543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34810 + ... + 35470.

It is an arithmetic number, because the mean of its divisors is an integer number (1167768).

Almost surely, 223227540 is an apocalyptic number.

23227540 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 23227540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026432).

23227540 is an abundant number, since it is smaller than the sum of its proper divisors (32825324).

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

23227540 is a wasteful number, since it uses less digits than its factorization.

23227540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 23227540 is about 4819.4958242538. The cubic root of 23227540 is about 285.3214389069.

Adding to 23227540 its reverse (4572232), we get a palindrome (27799772).

It can be divided in two parts, 232 and 27540, that added together give a palindrome (27772).

The spelling of 23227540 in words is "twenty-three million, two hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 661 1004 1255 1322 1757 2510 2644 3305 3514 4627 5020 6610 7028 8785 9254 13220 17570 18508 23135 35140 46270 92540 165911 331822 663644 829555 1161377 1659110 2322754 3318220 4645508 5806885 11613770 23227540