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230122620 = 223457213223
BaseRepresentation
bin11011011011101…
…10010001111100
3121001000102220000
431231312101330
5432402410440
634500154300
75463003300
oct1555662174
9531012800
10230122620
11108997592
1265098990
13388a3040
14227c3d00
1515309730
hexdb7647c

230122620 has 360 divisors, whose sum is σ = 908417664. Its totient is φ = 48335616.

The previous prime is 230122619. The next prime is 230122621. The reversal of 230122620 is 26221032.

230122620 is a `hidden beast` number, since 2 + 30 + 12 + 2 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (230122619) and next prime (230122621).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230122593 and 230122602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230122621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1031829 + ... + 1032051.

Almost surely, 2230122620 is an apocalyptic number.

230122620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230122620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454208832).

230122620 is an abundant number, since it is smaller than the sum of its proper divisors (678295044).

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

230122620 is a wasteful number, since it uses less digits than its factorization.

230122620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230122620 is about 15169.7930111126. The cubic root of 230122620 is about 612.8014298642.

Adding to 230122620 its reverse (26221032), we get a palindrome (256343652).

The spelling of 230122620 in words is "two hundred thirty million, one hundred twenty-two thousand, six hundred twenty".