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2276980 = 2251737181
BaseRepresentation
bin1000101011111001110100
311021200102121
420223321310
51040330410
6120445324
725232266
oct10537164
94250377
102276980
111315802
12919844
13619534
14433b36
152ee9da
hex22be74

2276980 has 48 divisors (see below), whose sum is σ = 5228496. Its totient is φ = 829440.

The previous prime is 2276969. The next prime is 2276999. The reversal of 2276980 is 896722.

It can be written as a sum of positive squares in 8 ways, for example, as 2916 + 2274064 = 54^2 + 1508^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12490 + ... + 12670.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

22276980 is an apocalyptic number.

2276980 is a gapful number since it is divisible by the number (20) 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 2276980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248).

2276980 is an abundant number, since it is smaller than the sum of its proper divisors (2951516).

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

2276980 is a wasteful number, since it uses less digits than its factorization.

2276980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2276980 is about 1508.9665337575. The cubic root of 2276980 is about 131.5587500788.

The spelling of 2276980 in words is "two million, two hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 181 185 340 362 370 629 724 740 905 1258 1810 2516 3077 3145 3620 6154 6290 6697 12308 12580 13394 15385 26788 30770 33485 61540 66970 113849 133940 227698 455396 569245 1138490 2276980