Search a number
-
+
2270664 = 2332114761
BaseRepresentation
bin1000101010010111001000
311021100202200
420222113020
51040130124
6120400200
725205004
oct10522710
94240680
102270664
111310a90
12916060
136166b6
14431704
152ecbc9
hex22a5c8

2270664 has 96 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 662400.

The previous prime is 2270663. The next prime is 2270669. The reversal of 2270664 is 4660722.

It is not an unprimeable number, because it can be changed into a prime (2270663) 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, 37194 + ... + 37254.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

22270664 is an apocalyptic number.

2270664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2270664 is an abundant number, since it is smaller than the sum of its proper divisors (4693176).

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

2270664 is a wasteful number, since it uses less digits than its factorization.

2270664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2270664 is about 1506.8722573596. The cubic root of 2270664 is about 131.4369960393.

The spelling of 2270664 in words is "two million, two hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 61 66 72 88 94 99 122 132 141 183 188 198 244 264 282 366 376 396 423 488 517 549 564 671 732 792 846 1034 1098 1128 1342 1464 1551 1692 2013 2068 2196 2684 2867 3102 3384 4026 4136 4392 4653 5368 5734 6039 6204 8052 8601 9306 11468 12078 12408 16104 17202 18612 22936 24156 25803 31537 34404 37224 48312 51606 63074 68808 94611 103212 126148 189222 206424 252296 283833 378444 567666 756888 1135332 2270664