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3225222 = 23271113179
BaseRepresentation
bin1100010011011010000110
320001212011200
430103122012
51311201342
6153043330
736261660
oct14233206
96055150
103225222
111903180
1210b6546
1388c020
145dd530
1543a94c
hex313686

3225222 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 768960.

The previous prime is 3225203. The next prime is 3225227. The reversal of 3225222 is 2225223.

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

It is a d-powerful number, because it can be written as 34 + 23 + 28 + 57 + 210 + 220 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 3225195 and 3225204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17929 + ... + 18107.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23225222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3225222 is an abundant number, since it is smaller than the sum of its proper divisors (6209658).

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

3225222 is a wasteful number, since it uses less digits than its factorization.

3225222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 3225222 is about 1795.8903084543. The cubic root of 3225222 is about 147.7474082018.

Subtracting from 3225222 its reverse (2225223), we obtain a palindrome (999999).

The spelling of 3225222 in words is "three million, two hundred twenty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 179 182 198 231 234 273 286 358 429 462 537 546 693 819 858 1001 1074 1253 1287 1386 1611 1638 1969 2002 2327 2506 2574 3003 3222 3759 3938 4654 5907 6006 6981 7518 9009 11277 11814 13783 13962 16289 17721 18018 20943 22554 25597 27566 32578 35442 41349 41886 48867 51194 76791 82698 97734 124047 146601 153582 179179 230373 248094 293202 358358 460746 537537 1075074 1612611 3225222