Search a number
-
+
2229696 = 26327279
BaseRepresentation
bin1000100000010111000000
311012021120100
420200113000
51032322241
6115442400
724644400
oct10402700
94167510
102229696
111293227
128b6400
13600b61
14420800
152e09b6
hex2205c0

2229696 has 126 divisors (see below), whose sum is σ = 7528560. Its totient is φ = 628992.

The previous prime is 2229691. The next prime is 2229697. The reversal of 2229696 is 6969222.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 23 + 217 + 221 + 92 + 6 + 92 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 2229696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229691) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28185 + ... + 28263.

22229696 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 2229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764280).

2229696 is an abundant number, since it is smaller than the sum of its proper divisors (5298864).

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

2229696 is a wasteful number, since it uses less digits than its factorization.

2229696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2229696 is about 1493.2166621090. The cubic root of 2229696 is about 130.6417185930.

It can be divided in two parts, 222 and 9696, that multiplied together give a palindrome (2152512).

The spelling of 2229696 in words is "two million, two hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 79 84 96 98 112 126 144 147 158 168 192 196 224 237 252 288 294 316 336 392 441 448 474 504 553 576 588 632 672 711 784 882 948 1008 1106 1176 1264 1344 1422 1568 1659 1764 1896 2016 2212 2352 2528 2844 3136 3318 3528 3792 3871 4032 4424 4704 4977 5056 5688 6636 7056 7584 7742 8848 9408 9954 11376 11613 13272 14112 15168 15484 17696 19908 22752 23226 26544 28224 30968 34839 35392 39816 45504 46452 53088 61936 69678 79632 92904 106176 123872 139356 159264 185808 247744 278712 318528 371616 557424 743232 1114848 2229696