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23444442 = 23272191399
BaseRepresentation
bin101100101101…
…1101111011010
31122010002201200
41121123233122
522000210232
62154255030
7403163100
oct131335732
948102650
1023444442
111226317a
127a27476
134b1b168
143183c70
1520d177c
hex165bbda

23444442 has 72 divisors (see below), whose sum is σ = 62244000. Its totient is φ = 6341328.

The previous prime is 23444431. The next prime is 23444467. The reversal of 23444442 is 24444432.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16059 + ... + 17457.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 223444442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23444442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122000).

23444442 is an abundant number, since it is smaller than the sum of its proper divisors (38799558).

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

23444442 is a wasteful number, since it uses less digits than its factorization.

23444442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1430 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 23444442 is about 4841.9460963542. The cubic root of 23444442 is about 286.2068124493.

Adding to 23444442 its reverse (24444432), we get a palindrome (47888874).

It can be divided in two parts, 2344 and 4442, that added together give a triangular number (6786 = T116).

The spelling of 23444442 in words is "twenty-three million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1399 1862 2394 2793 2798 4197 5586 8379 8394 9793 12591 16758 19586 25182 26581 29379 53162 58758 68551 79743 88137 137102 159486 176274 186067 205653 239229 372134 411306 478458 558201 616959 1116402 1233918 1302469 1674603 2604938 3349206 3907407 7814814 11722221 23444442