Search a number
-
+
23191740 = 2232511131753
BaseRepresentation
bin101100001111…
…0000010111100
31121122021002100
41120132002330
521414113430
62145025100
7401061255
oct130360274
947567070
1023191740
1112100330
127925190
134a60130
143119b2c
152081960
hex161e0bc

23191740 has 288 divisors, whose sum is σ = 89159616. Its totient is φ = 4792320.

The previous prime is 23191739. The next prime is 23191741. The reversal of 23191740 is 4719132.

It is an interprime number because it is at equal distance from previous prime (23191739) and next prime (23191741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23191741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437554 + ... + 437606.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 223191740 is an apocalyptic number.

23191740 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 23191740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

23191740 is an abundant number, since it is smaller than the sum of its proper divisors (65967876).

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

23191740 is a wasteful number, since it uses less digits than its factorization.

23191740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 23191740 is about 4815.7803106039. The cubic root of 23191740 is about 285.1747773750.

The spelling of 23191740 in words is "twenty-three million, one hundred ninety-one thousand, seven hundred forty".