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2230970 = 257229157
BaseRepresentation
bin1000100000101010111010
311012100022112
420200222322
51032342340
6115452322
724651200
oct10405272
94170275
102230970
111294185
128b70a2
13601601
14421070
152e1065
hex220aba

2230970 has 48 divisors (see below), whose sum is σ = 4863240. Its totient is φ = 733824.

The previous prime is 2230951. The next prime is 2230979. The reversal of 2230970 is 790322.

It can be written as a sum of positive squares in 4 ways, for example, as 1605289 + 625681 = 1267^2 + 791^2 .

It is a super-3 number, since 3×22309703 = 33312133303601019000, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2230979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14132 + ... + 14288.

22230970 is an apocalyptic number.

2230970 is an abundant number, since it is smaller than the sum of its proper divisors (2632270).

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

2230970 is a wasteful number, since it uses less digits than its factorization.

2230970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 2230970 is about 1493.6431970186. The cubic root of 2230970 is about 130.6665958050. Note that the first 3 decimals are identical.

The spelling of 2230970 in words is "two million, two hundred thirty thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 157 203 245 290 314 406 490 785 1015 1099 1421 1570 2030 2198 2842 4553 5495 7105 7693 9106 10990 14210 15386 22765 31871 38465 45530 63742 76930 159355 223097 318710 446194 1115485 2230970