Search a number
-
+
223265130 = 235111076323
BaseRepresentation
bin11010100111011…
…00000101101010
3120120010001011220
431103230011222
5424123441010
634053202510
75350502514
oct1523540552
9516101156
10223265130
11105033440
1262930436
133734195a
142191abb4
1514902970
hexd4ec16a

223265130 has 64 divisors (see below), whose sum is σ = 590105088. Its totient is φ = 53610560.

The previous prime is 223265123. The next prime is 223265137. The reversal of 223265130 is 31562322.

223265130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223265123) and next prime (223265137).

It is a super-3 number, since 3×2232651303 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223265130.

It is not an unprimeable number, because it can be changed into a prime (223265137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32149 + ... + 38471.

It is an arithmetic number, because the mean of its divisors is an integer number (9220392).

Almost surely, 2223265130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223265130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295052544).

223265130 is an abundant number, since it is smaller than the sum of its proper divisors (366839958).

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

223265130 is a wasteful number, since it uses less digits than its factorization.

223265130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 223265130 is about 14942.0590950511. The cubic root of 223265130 is about 606.6529304274.

The spelling of 223265130 in words is "two hundred twenty-three million, two hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 535 642 1070 1177 1605 2354 3210 3531 5885 6323 7062 11770 12646 17655 18969 31615 35310 37938 63230 69553 94845 139106 189690 208659 347765 417318 676561 695530 1043295 1353122 2029683 2086590 3382805 4059366 6765610 7442171 10148415 14884342 20296830 22326513 37210855 44653026 74421710 111632565 223265130