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244148112 = 243213413181
BaseRepresentation
bin11101000110101…
…10011110010000
3122000102000020200
432203112132100
51000000214422
640120535200
76023140035
oct1643263620
9560360220
10244148112
111158a70aa
1269921500
133b773c50
14245d538c
151667a2ac
hexe8d6790

244148112 has 120 divisors (see below), whose sum is σ = 754019448. Its totient is φ = 73267200.

The previous prime is 244148087. The next prime is 244148123. The reversal of 244148112 is 211841442.

244148112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26998416 + 217149696 = 5196^2 + 14736^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75162 + ... + 78342.

Almost surely, 2244148112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377009724).

244148112 is an abundant number, since it is smaller than the sum of its proper divisors (509871336).

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

244148112 is a wasteful number, since it uses less digits than its factorization.

244148112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3240 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 244148112 is about 15625.2395821632. The cubic root of 244148112 is about 625.0063888414.

Adding to 244148112 its reverse (211841442), we get a palindrome (455989554).

The spelling of 244148112 in words is "two hundred forty-four million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1599 1872 1968 2132 2952 3181 3198 4264 4797 5904 6362 6396 8528 9543 9594 12724 12792 19086 19188 25448 25584 28629 38172 38376 41353 50896 57258 76344 76752 82706 114516 124059 130421 152688 165412 229032 248118 260842 330824 372177 391263 458064 496236 521684 661648 744354 782526 992472 1043368 1173789 1488708 1565052 1695473 1984944 2086736 2347578 2977416 3130104 3390946 4695156 5086419 5954832 6260208 6781892 9390312 10172838 13563784 15259257 18780624 20345676 27127568 30518514 40691352 61037028 81382704 122074056 244148112