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225222492 = 223116183337
BaseRepresentation
bin11010110110010…
…01111101011100
3120200210111011210
431123021331130
5430124104432
634203144420
75403234225
oct1533117534
9520714153
10225222492
1110614aaa0
1263515110
1337878861
1421caa24c
1514b8c8cc
hexd6c9f5c

225222492 has 96 divisors (see below), whose sum is σ = 591462144. Its totient is φ = 66124800.

The previous prime is 225222461. The next prime is 225222499. The reversal of 225222492 is 294222522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225222499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668148 + ... + 668484.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064).

Almost surely, 2225222492 is an apocalyptic number.

225222492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225222492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295731072).

225222492 is an abundant number, since it is smaller than the sum of its proper divisors (366239652).

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

225222492 is a wasteful number, since it uses less digits than its factorization.

225222492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 225222492 is about 15007.4145674730. The cubic root of 225222492 is about 608.4206137024.

Adding to 225222492 its sum of digits (30), we get a palindrome (225222522).

The spelling of 225222492 in words is "two hundred twenty-five million, two hundred twenty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 83 122 132 166 183 244 249 332 337 366 498 671 674 732 913 996 1011 1342 1348 1826 2013 2022 2684 2739 3652 3707 4026 4044 5063 5478 7414 8052 10126 10956 11121 14828 15189 20252 20557 22242 27971 30378 41114 44484 55693 55942 60756 61671 82228 83913 111386 111884 123342 167079 167826 222772 226127 246684 307681 334158 335652 452254 615362 668316 678381 904508 923043 1230724 1356762 1706231 1846086 2713524 3412462 3692172 5118693 6824924 10237386 18768541 20474772 37537082 56305623 75074164 112611246 225222492