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230030103222 = 232192325110889
BaseRepresentation
bin1101011000111011011…
…1001101001010110110
3210222202012012222201200
43112032313031022312
512232100201300342
6253401355233330
722422234421233
oct3261667151266
9728665188650
10230030103222
1189611aa6227
12386b8748846
13188cb9c421a
14b1c252478a
155eb4a4794c
hex358edcd2b6

230030103222 has 72 divisors (see below), whose sum is σ = 526220786520. Its totient is φ = 72612072000.

The previous prime is 230030103221. The next prime is 230030103271. The reversal of 230030103222 is 222301030032.

It is a happy number.

230030103222 is a `hidden beast` number, since 2 + 300 + 30 + 10 + 322 + 2 = 666.

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 = 230030103195 and 230030103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230030103221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21119554 + ... + 21130442.

It is an arithmetic number, because the mean of its divisors is an integer number (7308622035).

Almost surely, 2230030103222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230030103222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263110393260).

230030103222 is an abundant number, since it is smaller than the sum of its proper divisors (296190683298).

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

230030103222 is a wasteful number, since it uses less digits than its factorization.

230030103222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14186 (or 14164 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230030103222 its reverse (222301030032), we get a palindrome (452331133254).

The spelling of 230030103222 in words is "two hundred thirty billion, thirty million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 3251 6498 6502 9753 10889 19506 21778 29259 32667 58518 61769 65334 98001 123538 185307 196002 206891 370614 413782 555921 620673 1111842 1173611 1241346 1862019 2347222 3520833 3724038 3930929 7041666 7861858 10562499 11792787 21124998 23585574 35378361 35400139 70756722 70800278 106200417 212400834 318601251 637202502 672602641 1345205282 2017807923 4035615846 6053423769 12106847538 12779450179 25558900358 38338350537 76676701074 115015051611 230030103222