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244215104 = 26723137173
BaseRepresentation
bin11101000111001…
…10110101000000
3122000112102010212
432203212311000
51000004340404
640122213252
76023536250
oct1643466500
9560472125
10244215104
11115942471
1269954228
133b7985a3
1424611960
151669006e
hexe8e6d40

244215104 has 112 divisors (see below), whose sum is σ = 585508608. Its totient is φ = 98807808.

The previous prime is 244215089. The next prime is 244215107. The reversal of 244215104 is 401512442.

244215104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 244215104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244215107) 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 15 ways as a sum of consecutive naturals, for example, 1411562 + ... + 1411734.

Almost surely, 2244215104 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 244215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292754304).

244215104 is an abundant number, since it is smaller than the sum of its proper divisors (341293504).

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

244215104 is a wasteful number, since it uses less digits than its factorization.

244215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 244215104 is about 15627.3831462596. The cubic root of 244215104 is about 625.0635489516.

Adding to 244215104 its reverse (401512442), we get a palindrome (645727546).

The spelling of 244215104 in words is "two hundred forty-four million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 137 161 173 184 224 274 322 346 368 448 548 644 692 736 959 1096 1211 1288 1384 1472 1918 2192 2422 2576 2768 3151 3836 3979 4384 4844 5152 5536 6302 7672 7958 8768 9688 10304 11072 12604 15344 15916 19376 22057 23701 25208 27853 30688 31832 38752 44114 47402 50416 55706 61376 63664 77504 88228 94804 100832 111412 127328 165907 176456 189608 201664 222824 254656 331814 352912 379216 445648 545123 663628 705824 758432 891296 1090246 1327256 1411648 1516864 1782592 2180492 2654512 3815861 4360984 5309024 7631722 8721968 10618048 15263444 17443936 30526888 34887872 61053776 122107552 244215104