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230202414 = 23213983771
BaseRepresentation
bin11011011100010…
…01110000101110
3121001011111100100
431232021300232
5432412434124
634502011530
75463455031
oct1556116056
9531144310
10230202414
11108a41532
1265116ba6
1338900460
1422805018
15153231c9
hexdb89c2e

230202414 has 24 divisors (see below), whose sum is σ = 537139512. Its totient is φ = 70831440.

The previous prime is 230202407. The next prime is 230202421. The reversal of 230202414 is 414202032.

230202414 is a `hidden beast` number, since 230 + 20 + 2 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (230202407) and next prime (230202421).

It is a super-2 number, since 2×2302024142 = 105986302822854792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491652 + ... + 492119.

It is an arithmetic number, because the mean of its divisors is an integer number (22380813).

Almost surely, 2230202414 is an apocalyptic number.

230202414 is an abundant number, since it is smaller than the sum of its proper divisors (306937098).

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

230202414 is a wasteful number, since it uses less digits than its factorization.

230202414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983792 (or 983789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230202414 is about 15172.4228124581. The cubic root of 230202414 is about 612.8722504071.

Adding to 230202414 its reverse (414202032), we get a palindrome (644404446).

The spelling of 230202414 in words is "two hundred thirty million, two hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 983771 1967542 2951313 5902626 8853939 12789023 17707878 25578046 38367069 76734138 115101207 230202414