Search a number
-
+
10362222 = 2331329509
BaseRepresentation
bin100111100001…
…110101101110
3201111110022000
4213201311232
510123042342
61010033130
7154035363
oct47416556
921443260
1010362222
115938322
1235787a6
1321ba6c0
14153a46a
15d9a44c
hex9e1d6e

10362222 has 64 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 3072384.

The previous prime is 10362221. The next prime is 10362223. The reversal of 10362222 is 22226301.

It is an interprime number because it is at equal distance from previous prime (10362221) and next prime (10362223).

It is a super-3 number, since 3×103622223 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

10362222 is a modest number, since divided by 2222 gives 1036 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10362195 and 10362204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10362221) 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, 20104 + ... + 20612.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 210362222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10362222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

10362222 is an abundant number, since it is smaller than the sum of its proper divisors (15341778).

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

10362222 is a wasteful number, since it uses less digits than its factorization.

10362222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10362222 is about 3219.0405402853. The cubic root of 10362222 is about 218.0139569663.

Adding to 10362222 its reverse (22226301), we get a palindrome (32588523).

The spelling of 10362222 in words is "ten million, three hundred sixty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 509 522 702 754 783 1018 1131 1527 1566 2262 3054 3393 4581 6617 6786 9162 10179 13234 13743 14761 19851 20358 27486 29522 39702 44283 59553 88566 119106 132849 178659 191893 265698 357318 383786 398547 575679 797094 1151358 1727037 3454074 5181111 10362222