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2289980 = 2257111487
BaseRepresentation
bin1000101111000100111100
311022100021002
420233010330
51041234410
6121025432
725315220
oct10570474
94270232
102289980
111324550
12925278
13622424
14438780
153037a5
hex22f13c

2289980 has 48 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 713280.

The previous prime is 2289979. The next prime is 2290003. The reversal of 2289980 is 899822.

2289980 = T309 + T310 + ... + T350.

2289980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

22289980 is an apocalyptic number.

2289980 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 2289980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2289980 is an abundant number, since it is smaller than the sum of its proper divisors (3709636).

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

2289980 is a wasteful number, since it uses less digits than its factorization.

2289980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 2289980 is about 1513.2679868417. The cubic root of 2289980 is about 131.8086452943.

It can be divided in two parts, 2 and 289980, that added together give a palindrome (289982).

The spelling of 2289980 in words is "two million, two hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1487 1540 2974 5948 7435 10409 14870 16357 20818 29740 32714 41636 52045 65428 81785 104090 114499 163570 208180 228998 327140 457996 572495 1144990 2289980