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244200440 = 235114312907
BaseRepresentation
bin11101000111000…
…11001111111000
3122000111200000202
432203203033320
51000003403230
640122021332
76023445431
oct1643431770
9560450022
10244200440
11115932450
1269947848
133b791a03
142460a488
151668aa45
hexe8e33f8

244200440 has 64 divisors (see below), whose sum is σ = 613388160. Its totient is φ = 86728320.

The previous prime is 244200419. The next prime is 244200443. The reversal of 244200440 is 44002442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244200443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12467 + ... + 25373.

It is an arithmetic number, because the mean of its divisors is an integer number (9584190).

Almost surely, 2244200440 is an apocalyptic number.

244200440 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 244200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306694080).

244200440 is an abundant number, since it is smaller than the sum of its proper divisors (369187720).

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

244200440 is a wasteful number, since it uses less digits than its factorization.

244200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 244200440 is about 15626.9139627759. The cubic root of 244200440 is about 625.0510379654.

Adding to 244200440 its reverse (44002442), we get a palindrome (288202882).

The spelling of 244200440 in words is "two hundred forty-four million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 12907 18920 25814 51628 64535 103256 129070 141977 258140 283954 516280 555001 567908 709885 1110002 1135816 1419770 2220004 2775005 2839540 4440008 5550010 5679080 6105011 11100020 12210022 22200040 24420044 30525055 48840088 61050110 122100220 244200440