Search a number
-
+
20232414 = 23217371787
BaseRepresentation
bin100110100101…
…1100011011110
31102001220122200
41031023203132
520134414124
62001352330
7333654426
oct115134336
942056580
1020232414
1110469a04
1269386a6
134265157
142989486
151b99bc9
hex134b8de

20232414 has 48 divisors (see below), whose sum is σ = 47696688. Its totient is φ = 6172416.

The previous prime is 20232413. The next prime is 20232427. The reversal of 20232414 is 41423202.

20232414 is a `hidden beast` number, since 20 + 232 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10429 + ... + 12215.

It is an arithmetic number, because the mean of its divisors is an integer number (993681).

Almost surely, 220232414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848344).

20232414 is an abundant number, since it is smaller than the sum of its proper divisors (27464274).

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

20232414 is a wasteful number, since it uses less digits than its factorization.

20232414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20232414 is about 4498.0455755806. The cubic root of 20232414 is about 272.4891626585.

Adding to 20232414 its reverse (41423202), we get a palindrome (61655616).

The spelling of 20232414 in words is "twenty million, two hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1787 1887 3574 3774 5361 5661 10722 11322 16083 30379 32166 60758 66119 91137 132238 182274 198357 273411 396714 546822 595071 1124023 1190142 2248046 3372069 6744138 10116207 20232414