Search a number
-
+
2248136 = 231159433
BaseRepresentation
bin1000100100110111001000
311020012212022
420210313020
51033420021
6120104012
725052222
oct10446710
94205768
102248136
1112a6070
12905008
13609377
14427412
152e61ab
hex224dc8

2248136 has 32 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 1002240.

The previous prime is 2248133. The next prime is 2248139. The reversal of 2248136 is 6318422.

It is an interprime number because it is at equal distance from previous prime (2248133) and next prime (2248139).

It is a d-powerful number, because it can be written as 217 + 221 + 4 + 8 + 1 + 39 + 63 .

It is not an unprimeable number, because it can be changed into a prime (2248133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4976 + ... + 5408.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

22248136 is an apocalyptic number.

2248136 is the 866-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2248136 is an abundant number, since it is smaller than the sum of its proper divisors (2439064).

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

2248136 is a wasteful number, since it uses less digits than its factorization.

2248136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 2248136 is about 1499.3785379283. The cubic root of 2248136 is about 131.0008740691. Note that the first 3 decimals are identical.

The spelling of 2248136 in words is "two million, two hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 433 472 649 866 1298 1732 2596 3464 4763 5192 9526 19052 25547 38104 51094 102188 204376 281017 562034 1124068 2248136