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302220013230 = 2325181148112527
BaseRepresentation
bin1000110010111011011…
…01110110111010101110
31001220002020021101101100
410121131231312322232
514422421310410410
6350500555423530
730556202504202
oct4313555667256
91056066241340
10302220013230
11107197356083
124a6a4a54ba6
1322664a496c5
14108add0cb02
157cdc5308c0
hex465db76eae

302220013230 has 96 divisors (see below), whose sum is σ = 790709931648. Its totient is φ = 80086233600.

The previous prime is 302220013201. The next prime is 302220013231. The reversal of 302220013230 is 32310022203.

It is a happy number.

302220013230 is a `hidden beast` number, since 302 + 2 + 200 + 132 + 30 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302220013231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24119227 + ... + 24131753.

It is an arithmetic number, because the mean of its divisors is an integer number (8236561788).

Almost surely, 2302220013230 is an apocalyptic number.

302220013230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 302220013230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395354965824).

302220013230 is an abundant number, since it is smaller than the sum of its proper divisors (488489918418).

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

302220013230 is a wasteful number, since it uses less digits than its factorization.

302220013230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14202 (or 14199 counting only the distinct ones).

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

Adding to 302220013230 its reverse (32310022203), we get a palindrome (334530035433).

The spelling of 302220013230 in words is "three hundred two billion, two hundred twenty million, thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1481 1629 1810 2715 2962 3258 4443 5430 7405 8145 8886 12527 13329 14810 16290 22215 25054 26658 37581 44430 62635 66645 75162 112743 125270 133290 187905 225486 268061 375810 536122 563715 804183 1127430 1340305 1608366 2267387 2412549 2680610 4020915 4534774 4825098 6802161 8041830 11336935 12062745 13604322 18552487 20406483 22673870 24125490 34010805 37104974 40812966 55657461 68021610 92762435 102032415 111314922 166972383 185524870 204064830 278287305 333944766 556574610 834861915 1669723830 3358000147 6716000294 10074000441 16790000735 20148000882 30222001323 33580001470 50370002205 60444002646 100740004410 151110006615 302220013230