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23014240 = 255831733
BaseRepresentation
bin101011111001…
…0101101100000
31121022020121021
41113302231200
521342423430
62141135224
7366421624
oct127625540
947266537
1023014240
1111a99a37
12785a514
1349ca3c2
1430b1184
15204907a
hex15f2b60

23014240 has 48 divisors (see below), whose sum is σ = 55057968. Its totient is φ = 9089536.

The previous prime is 23014231. The next prime is 23014247. The reversal of 23014240 is 4241032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12414 + ... + 14146.

It is an arithmetic number, because the mean of its divisors is an integer number (1147041).

Almost surely, 223014240 is an apocalyptic number.

23014240 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 23014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27528984).

23014240 is an abundant number, since it is smaller than the sum of its proper divisors (32043728).

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

23014240 is a wasteful number, since it uses less digits than its factorization.

23014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23014240 is about 4797.3159162182. The cubic root of 23014240 is about 284.4453766969.

Adding to 23014240 its reverse (4241032), we get a palindrome (27255272).

The spelling of 23014240 in words is "twenty-three million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 1733 2656 3320 3466 6640 6932 8665 13280 13864 17330 27728 34660 55456 69320 138640 143839 277280 287678 575356 719195 1150712 1438390 2301424 2876780 4602848 5753560 11507120 23014240