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2247128 = 2313173141
BaseRepresentation
bin1000100100100111011000
311020011110222
420210213120
51033402003
6120055212
725046252
oct10444730
94204428
102247128
1112a5334
12904508
13608a80
14426cd2
152e5c38
hex2249d8

2247128 has 64 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 921600.

The previous prime is 2247127. The next prime is 2247131. The reversal of 2247128 is 8217422.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 211 + 47 + 73 + 1 + 217 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 2247097 and 2247106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2247127) 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, 54788 + ... + 54828.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

22247128 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 2247128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2247128 is an abundant number, since it is smaller than the sum of its proper divisors (2833192).

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

2247128 is a wasteful number, since it uses less digits than its factorization.

2247128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 2247128 is about 1499.0423609758. The cubic root of 2247128 is about 130.9812921248.

The spelling of 2247128 in words is "two million, two hundred forty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 31 34 41 52 62 68 82 104 124 136 164 221 248 328 403 442 527 533 697 806 884 1054 1066 1271 1394 1612 1768 2108 2132 2542 2788 3224 4216 4264 5084 5576 6851 9061 10168 13702 16523 18122 21607 27404 33046 36244 43214 54808 66092 72488 86428 132184 172856 280891 561782 1123564 2247128