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2254626 = 2321159193
BaseRepresentation
bin1000100110011100100010
311020112202200
420212130202
51034122001
6120154030
725110153
oct10463442
94215680
102254626
1112aaa30
12908916
1360c2ca
1442992a
152e8086
hex226722

2254626 has 48 divisors (see below), whose sum is σ = 5447520. Its totient is φ = 668160.

The previous prime is 2254607. The next prime is 2254627. The reversal of 2254626 is 6264522.

2254626 is a nontrivial binomial coefficient, being equal to C(2124, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 2254626.

It is not an unprimeable number, because it can be changed into a prime (2254627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11586 + ... + 11778.

It is an arithmetic number, because the mean of its divisors is an integer number (113490).

22254626 is an apocalyptic number.

2254626 is the 2123-rd triangular number and also the 1062-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723760).

2254626 is an abundant number, since it is smaller than the sum of its proper divisors (3192894).

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

2254626 is a wasteful number, since it uses less digits than its factorization.

2254626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 268 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2254626 is about 1501.5412082257. The cubic root of 2254626 is about 131.1268123067.

It can be divided in two parts, 225 and 4626, that added together give a triangular number (4851 = T98).

The spelling of 2254626 in words is "two million, two hundred fifty-four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 193 198 354 386 531 579 649 1062 1158 1298 1737 1947 2123 3474 3894 4246 5841 6369 11387 11682 12738 19107 22774 34161 38214 68322 102483 125257 204966 250514 375771 751542 1127313 2254626