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2254122 = 23313319
BaseRepresentation
bin1000100110010100101010
311020112002000
420212110222
51034112442
6120151430
725105533
oct10462452
94215060
102254122
1112aa612
12908576
1360c000
1442968a
152e7d4c
hex22652a

2254122 has 64 divisors (see below), whose sum is σ = 5712000. Its totient is φ = 657072.

The previous prime is 2254121. The next prime is 2254129. The reversal of 2254122 is 2214522.

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

It is a junction number, because it is equal to n+sod(n) for n = 2254095 and 2254104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254121) 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, 118629 + ... + 118647.

It is an arithmetic number, because the mean of its divisors is an integer number (89250).

22254122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856000).

2254122 is an abundant number, since it is smaller than the sum of its proper divisors (3457878).

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

2254122 is a wasteful number, since it uses less digits than its factorization.

2254122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2254122 is about 1501.3733712838. The cubic root of 2254122 is about 131.1170408652.

Adding to 2254122 its reverse (2214522), we get a palindrome (4468644).

The spelling of 2254122 in words is "two million, two hundred fifty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 169 171 234 247 338 342 351 494 507 513 702 741 1014 1026 1482 1521 2197 2223 3042 3211 4394 4446 4563 6422 6591 6669 9126 9633 13182 13338 19266 19773 28899 39546 41743 57798 59319 83486 86697 118638 125229 173394 250458 375687 751374 1127061 2254122