Search a number
-
+
293244224 = 2672137193
BaseRepresentation
bin10001011110101…
…000110101000000
3202102210100110012
4101132220311000
51100032303344
645033124052
710160351300
oct2136506500
9672710405
10293244224
1114058a7a9
1282259628
13489a3ac0
142ad35600
151ab2729e
hex117a8d40

293244224 has 84 divisors (see below), whose sum is σ = 729083124. Its totient is φ = 115992576.

The previous prime is 293244209. The next prime is 293244239. The reversal of 293244224 is 422442392.

It is an interprime number because it is at equal distance from previous prime (293244209) and next prime (293244239).

It can be written as a sum of positive squares in 2 ways, for example, as 29506624 + 263737600 = 5432^2 + 16240^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37172 + ... + 44364.

It is an arithmetic number, because the mean of its divisors is an integer number (8679561).

Almost surely, 2293244224 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 293244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364541562).

293244224 is an abundant number, since it is smaller than the sum of its proper divisors (435838900).

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

293244224 is a wasteful number, since it uses less digits than its factorization.

293244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7232 (or 7215 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 293244224 is about 17124.3751418847. The cubic root of 293244224 is about 664.3697075014.

The spelling of 293244224 in words is "two hundred ninety-three million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 7193 10192 14386 20384 28772 40768 50351 57544 93509 100702 115088 187018 201404 230176 352457 374036 402808 460352 654563 704914 748072 805616 1309126 1409828 1496144 1611232 2618252 2819656 2992288 3222464 4581941 5236504 5639312 5984576 9163882 10473008 11278624 18327764 20946016 22557248 36655528 41892032 73311056 146622112 293244224