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230011122 = 231117297069
BaseRepresentation
bin11011011010110…
…11000011110010
3121000210202221110
431231123003302
5432340323442
634453534150
75462030235
oct1555330362
9530722843
10230011122
11108920840
1265044356
1338864373
142279541c
15152d669c
hexdb5b0f2

230011122 has 64 divisors (see below), whose sum is σ = 549763200. Its totient is φ = 63329280.

The previous prime is 230011099. The next prime is 230011127. The reversal of 230011122 is 221110032.

230011122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230011098 and 230011107.

It is not an unprimeable number, because it can be changed into a prime (230011127) 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, 29004 + ... + 36072.

It is an arithmetic number, because the mean of its divisors is an integer number (8590050).

Almost surely, 2230011122 is an apocalyptic number.

230011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274881600).

230011122 is an abundant number, since it is smaller than the sum of its proper divisors (319752078).

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

230011122 is a wasteful number, since it uses less digits than its factorization.

230011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 230011122 is about 15166.1175651516. The cubic root of 230011122 is about 612.7024432575.

Adding to 230011122 its reverse (221110032), we get a palindrome (451121154).

The spelling of 230011122 in words is "two hundred thirty million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 319 374 493 561 638 957 986 1122 1479 1914 2958 5423 7069 10846 14138 16269 21207 32538 42414 77759 120173 155518 205001 233277 240346 360519 410002 466554 615003 721038 1230006 1321903 2255011 2643806 3485017 3965709 4510022 6765033 6970034 7931418 10455051 13530066 20910102 38335187 76670374 115005561 230011122