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30223145820 = 22357631114041
BaseRepresentation
bin11100001001011100…
…001001101101011100
32220000022011212220010
4130021130021231130
5443344111131240
621515002523220
72116646333520
oct341134115534
986008155803
1030223145820
11118aa1a586a
125a35806510
132b0869464a
141669d33d80
15bbd506280
hex709709b5c

30223145820 has 96 divisors (see below), whose sum is σ = 96868187136. Its totient is φ = 6897139200.

The previous prime is 30223145783. The next prime is 30223145833. The reversal of 30223145820 is 2854132203.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 208000 + ... + 322040.

It is an arithmetic number, because the mean of its divisors is an integer number (1009043616).

Almost surely, 230223145820 is an apocalyptic number.

30223145820 is a gapful number since it is divisible by the number (30) 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 30223145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434093568).

30223145820 is an abundant number, since it is smaller than the sum of its proper divisors (66645041316).

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

30223145820 is a wasteful number, since it uses less digits than its factorization.

30223145820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114691 (or 114689 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 30223145820 in words is "thirty billion, two hundred twenty-three million, one hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 631 1262 1893 2524 3155 3786 4417 6310 7572 8834 9465 12620 13251 17668 18930 22085 26502 37860 44170 53004 66255 88340 114041 132510 228082 265020 342123 456164 570205 684246 798287 1140410 1368492 1596574 1710615 2280820 2394861 3193148 3421230 3991435 4789722 6842460 7982870 9579444 11974305 15965740 23948610 47897220 71959871 143919742 215879613 287839484 359799355 431759226 503719097 719598710 863518452 1007438194 1079398065 1439197420 1511157291 2014876388 2158796130 2518595485 3022314582 4317592260 5037190970 6044629164 7555786455 10074381940 15111572910 30223145820