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2262690 = 232531811
BaseRepresentation
bin1000101000011010100010
311020221211100
420220122202
51034401230
6120255230
725142523
oct10503242
94227740
102262690
111305aa1
12911516
13612b91
1442c84a
152ea660
hex2286a2

2262690 has 48 divisors (see below), whose sum is σ = 6080256. Its totient is φ = 583200.

The previous prime is 2262679. The next prime is 2262713. The reversal of 2262690 is 962622.

It is a super-3 number, since 3×22626903 = 34753330236669327000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2385 + ... + 3195.

It is an arithmetic number, because the mean of its divisors is an integer number (126672).

22262690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040128).

2262690 is an abundant number, since it is smaller than the sum of its proper divisors (3817566).

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

2262690 is a wasteful number, since it uses less digits than its factorization.

2262690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2262690 is about 1504.2240524603. The cubic root of 2262690 is about 131.2829577098.

It can be divided in two parts, 226 and 2690, that added together give a square (2916 = 542).

The spelling of 2262690 in words is "two million, two hundred sixty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 811 930 1395 1622 2433 2790 4055 4866 7299 8110 12165 14598 24330 25141 36495 50282 72990 75423 125705 150846 226269 251410 377115 452538 754230 1131345 2262690