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2268990 = 2325171483
BaseRepresentation
bin1000101001111100111110
311021021110200
420221330332
51040101430
6120344330
725200063
oct10517476
94237420
102268990
11130a7a9
129150a6
136159c9
14430c6a
152ec460
hex229f3e

2268990 has 48 divisors (see below), whose sum is σ = 6250608. Its totient is φ = 569088.

The previous prime is 2268979. The next prime is 2268991. The reversal of 2268990 is 998622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (130221).

22268990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125304).

2268990 is an abundant number, since it is smaller than the sum of its proper divisors (3981618).

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

2268990 is a wasteful number, since it uses less digits than its factorization.

2268990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2268990 is about 1506.3166997680. The cubic root of 2268990 is about 131.4046883644.

It can be divided in two parts, 226 and 8990, that added together give a square (9216 = 962).

The spelling of 2268990 in words is "two million, two hundred sixty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1483 1530 2966 4449 7415 8898 13347 14830 22245 25211 26694 44490 50422 66735 75633 126055 133470 151266 226899 252110 378165 453798 756330 1134495 2268990