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3342222 = 23513232
BaseRepresentation
bin1100101111111110001110
320021210200000
430233332032
51323422342
6155345130
740260042
oct14577616
96253600
103342222
111983074
1211521a6
13900360
14630022
1546044c
hex32ff8e

3342222 has 72 divisors (see below), whose sum is σ = 8454264. Its totient is φ = 983664.

The previous prime is 3342193. The next prime is 3342223. The reversal of 3342222 is 2222433.

It is a super-2 number, since 2×33422222 = 22340895794568, which contains 22 as substring.

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

3342222 is a modest number, since divided by 2222 gives 334 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3342195 and 3342204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145303 + ... + 145325.

Almost surely, 23342222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227132).

3342222 is an abundant number, since it is smaller than the sum of its proper divisors (5112042).

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

3342222 is a wasteful number, since it uses less digits than its factorization.

3342222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 3342222 is about 1828.1744993299. The cubic root of 3342222 is about 149.5128194135.

Adding to 3342222 its reverse (2222433), we get a palindrome (5564655).

It can be divided in two parts, 334 and 2222, that added together give a triangular number (2556 = T71).

The spelling of 3342222 in words is "three million, three hundred forty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 243 299 351 414 486 529 598 621 702 897 1053 1058 1242 1587 1794 1863 2106 2691 3159 3174 3726 4761 5382 5589 6318 6877 8073 9522 11178 13754 14283 16146 20631 24219 28566 41262 42849 48438 61893 72657 85698 123786 128547 145314 185679 257094 371358 557037 1114074 1671111 3342222