Search a number
-
+
2113332 = 22313192331
BaseRepresentation
bin1000000011111100110100
310222100221120
420003330310
51020111312
6113143540
723651214
oct10037464
93870846
102113332
111213861
1285abb0
1358cbc0
143d0244
152bb28c
hex203f34

2113332 has 96 divisors (see below), whose sum is σ = 6021120. Its totient is φ = 570240.

The previous prime is 2113291. The next prime is 2113333. The reversal of 2113332 is 2333112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68157 + ... + 68187.

It is an arithmetic number, because the mean of its divisors is an integer number (62720).

22113332 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 2113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010560).

2113332 is an abundant number, since it is smaller than the sum of its proper divisors (3907788).

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

2113332 is a wasteful number, since it uses less digits than its factorization.

2113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 91 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 2113332 is about 1453.7303739002. The cubic root of 2113332 is about 128.3283399792.

Adding to 2113332 its reverse (2333112), we get a palindrome (4446444).

It can be divided in two parts, 21 and 13332, that multiplied together give a palindrome (279972).

The spelling of 2113332 in words is "two million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 23 26 31 38 39 46 52 57 62 69 76 78 92 93 114 124 138 156 186 228 247 276 299 372 403 437 494 589 598 713 741 806 874 897 988 1178 1196 1209 1311 1426 1482 1612 1748 1767 1794 2139 2356 2418 2622 2852 2964 3534 3588 4278 4836 5244 5681 7068 7657 8556 9269 11362 13547 15314 17043 18538 22724 22971 27094 27807 30628 34086 37076 40641 45942 54188 55614 68172 81282 91884 111228 162564 176111 352222 528333 704444 1056666 2113332