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2255148 = 2233719157
BaseRepresentation
bin1000100110100100101100
311020120111000
420212210230
51034131043
6120200300
725111530
oct10464454
94216430
102255148
111300365
12909090
1360c60c
14429bc0
152e82d3
hex22692c

2255148 has 96 divisors (see below), whose sum is σ = 7078400. Its totient is φ = 606528.

The previous prime is 2255147. The next prime is 2255159. The reversal of 2255148 is 8415522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

2255148 is an undulating number in base 12.

It is not an unprimeable number, because it can be changed into a prime (2255147) 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, 14286 + ... + 14442.

22255148 is an apocalyptic number.

2255148 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 2255148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539200).

2255148 is an abundant number, since it is smaller than the sum of its proper divisors (4823252).

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

2255148 is a wasteful number, since it uses less digits than its factorization.

2255148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2255148 is about 1501.7150195693. The cubic root of 2255148 is about 131.1369311933.

It can be divided in two parts, 225514 and 8, that added together give a palindrome (225522).

The spelling of 2255148 in words is "two million, two hundred fifty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 157 171 189 228 252 266 314 342 378 399 471 513 532 628 684 756 798 942 1026 1099 1197 1413 1596 1884 2052 2198 2394 2826 2983 3297 3591 4239 4396 4788 5652 5966 6594 7182 8478 8949 9891 11932 13188 14364 16956 17898 19782 20881 26847 29673 35796 39564 41762 53694 59346 62643 80541 83524 107388 118692 125286 161082 187929 250572 322164 375858 563787 751716 1127574 2255148