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230202120 = 23351918351
BaseRepresentation
bin11011011100010…
…01101100001000
3121001011110221110
431232021230020
5432412431440
634502010320
75463454131
oct1556115410
9531143843
10230202120
11108a41295
12651169a0
1338900295
1422804c88
1515323080
hexdb89b08

230202120 has 32 divisors (see below), whose sum is σ = 690606720. Its totient is φ = 61387200.

The previous prime is 230202109. The next prime is 230202127. The reversal of 230202120 is 21202032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230202096 and 230202105.

It is not an unprimeable number, because it can be changed into a prime (230202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959056 + ... + 959295.

It is an arithmetic number, because the mean of its divisors is an integer number (21581460).

Almost surely, 2230202120 is an apocalyptic number.

230202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230202120 is an abundant number, since it is smaller than the sum of its proper divisors (460404600).

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

230202120 is a wasteful number, since it uses less digits than its factorization.

230202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918365 (or 1918361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230202120 is about 15172.4131238244. The cubic root of 230202120 is about 612.8719894997.

Adding to 230202120 its reverse (21202032), we get a palindrome (251404152).

The spelling of 230202120 in words is "two hundred thirty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1918351 3836702 5755053 7673404 9591755 11510106 15346808 19183510 23020212 28775265 38367020 46040424 57550530 76734040 115101060 230202120