Search a number
-
+
2247696 = 243311243
BaseRepresentation
bin1000100100110000010000
311020012021000
420210300100
51033411241
6120102000
725051023
oct10446020
94205230
102247696
1112a5800
12904900
136090c9
144271ba
152e5eb6
hex224c10

2247696 has 120 divisors (see below), whose sum is σ = 7256480. Its totient is φ = 665280.

The previous prime is 2247691. The next prime is 2247697. The reversal of 2247696 is 6967422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 217 + 221 + 43 + 75 + 64 + 9 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 2247696.

It is not an unprimeable number, because it can be changed into a prime (2247691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52251 + ... + 52293.

22247696 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 2247696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628240).

2247696 is an abundant number, since it is smaller than the sum of its proper divisors (5008784).

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

2247696 is a wasteful number, since it uses less digits than its factorization.

2247696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2247696 is about 1499.2318032913. The cubic root of 2247696 is about 130.9923271150.

The spelling of 2247696 in words is "two million, two hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 43 44 48 54 66 72 86 88 99 108 121 129 132 144 172 176 198 216 242 258 264 297 344 363 387 396 432 473 484 516 528 594 688 726 774 792 946 968 1032 1089 1161 1188 1419 1452 1548 1584 1892 1936 2064 2178 2322 2376 2838 2904 3096 3267 3784 4257 4356 4644 4752 5203 5676 5808 6192 6534 7568 8514 8712 9288 10406 11352 12771 13068 15609 17028 17424 18576 20812 22704 25542 26136 31218 34056 41624 46827 51084 52272 62436 68112 83248 93654 102168 124872 140481 187308 204336 249744 280962 374616 561924 749232 1123848 2247696