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2255988 = 2237107251
BaseRepresentation
bin1000100110110001110100
311020121122010
420212301310
51034142423
6120204220
725114140
oct10466164
94217563
102255988
111300a59
12909670
1360cb07
1442a220
152e8693
hex226c74

2255988 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 636000.

The previous prime is 2255987. The next prime is 2255989. The reversal of 2255988 is 8895522.

It is an interprime number because it is at equal distance from previous prime (2255987) and next prime (2255989).

It is a super-2 number, since 2×22559882 = 10178963712288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8863 + ... + 9113.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22255988 is an apocalyptic number.

2255988 is a gapful number since it is divisible by the number (28) 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 2255988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2255988 is an abundant number, since it is smaller than the sum of its proper divisors (3840396).

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

2255988 is a wasteful number, since it uses less digits than its factorization.

2255988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 2255988 is about 1501.9946737589. The cubic root of 2255988 is about 131.1532111814.

The spelling of 2255988 in words is "two million, two hundred fifty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 251 321 428 502 642 749 753 1004 1284 1498 1506 1757 2247 2996 3012 3514 4494 5271 7028 8988 10542 21084 26857 53714 80571 107428 161142 187999 322284 375998 563997 751996 1127994 2255988