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2262870 = 233517229
BaseRepresentation
bin1000101000011101010110
311020222002000
420220131112
51034402440
6120300130
725143201
oct10503526
94228060
102262870
111306145
12911646
13612c9c
1442c938
152ea730
hex228756

2262870 has 96 divisors (see below), whose sum is σ = 6631200. Its totient is φ = 548352.

The previous prime is 2262859. The next prime is 2262877. The reversal of 2262870 is 782622.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262877) 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, 78016 + ... + 78044.

It is an arithmetic number, because the mean of its divisors is an integer number (69075).

22262870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315600).

2262870 is an abundant number, since it is smaller than the sum of its proper divisors (4368330).

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

2262870 is a wasteful number, since it uses less digits than its factorization.

2262870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2262870 is about 1504.2838827828. The cubic root of 2262870 is about 131.2864388622.

The spelling of 2262870 in words is "two million, two hundred sixty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 85 87 90 102 135 145 153 170 174 255 261 270 289 290 306 435 459 493 510 522 578 765 783 867 870 918 986 1305 1445 1479 1530 1566 1734 2295 2465 2601 2610 2890 2958 3915 4335 4437 4590 4930 5202 7395 7803 7830 8381 8670 8874 13005 13311 14790 15606 16762 22185 25143 26010 26622 39015 41905 44370 50286 66555 75429 78030 83810 125715 133110 150858 226287 251430 377145 452574 754290 1131435 2262870