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2289690 = 23251319103
BaseRepresentation
bin1000101111000000011010
311022022212100
420233000122
51041232230
6121024230
725314324
oct10570032
94268770
102289690
111324307
12925076
13622260
14438614
15303660
hex22f01a

2289690 has 96 divisors (see below), whose sum is σ = 6814080. Its totient is φ = 528768.

The previous prime is 2289689. The next prime is 2289697. The reversal of 2289690 is 969822.

It is a super-2 number, since 2×22896902 = 10485360592200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2289697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22179 + ... + 22281.

It is an arithmetic number, because the mean of its divisors is an integer number (70980).

22289690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407040).

2289690 is an abundant number, since it is smaller than the sum of its proper divisors (4524390).

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

2289690 is a wasteful number, since it uses less digits than its factorization.

2289690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

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

The square root of 2289690 is about 1513.1721646924. The cubic root of 2289690 is about 131.8030810360.

The spelling of 2289690 in words is "two million, two hundred eighty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 103 114 117 130 171 190 195 206 234 247 285 309 342 390 494 515 570 585 618 741 855 927 1030 1170 1235 1339 1482 1545 1710 1854 1957 2223 2470 2678 3090 3705 3914 4017 4446 4635 5871 6695 7410 8034 9270 9785 11115 11742 12051 13390 17613 19570 20085 22230 24102 25441 29355 35226 40170 50882 58710 60255 76323 88065 120510 127205 152646 176130 228969 254410 381615 457938 763230 1144845 2289690