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20211223230 = 232511127160751
BaseRepresentation
bin10010110100101011…
…101100101010111110
31221011112222112001100
4102310223230222332
5312343033120410
613141312353530
71313565364032
oct226453545276
957145875040
1020211223230
118631788180
123b008458a6
131ba13914b3
14d9a38a1c2
157d45908c0
hex4b4aecabe

20211223230 has 96 divisors (see below), whose sum is σ = 57778126848. Its totient is φ = 4861080000.

The previous prime is 20211223223. The next prime is 20211223231. The reversal of 20211223230 is 3232211202.

20211223230 is a `hidden beast` number, since 2 + 0 + 211 + 223 + 230 = 666.

It is a super-3 number, since 3×202112232303 (a number of 32 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (20211223231) 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, 45355 + ... + 206105.

It is an arithmetic number, because the mean of its divisors is an integer number (601855488).

Almost surely, 220211223230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211223230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28889063424).

20211223230 is an abundant number, since it is smaller than the sum of its proper divisors (37566903618).

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

20211223230 is a wasteful number, since it uses less digits than its factorization.

20211223230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160902 (or 160899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20211223230 its reverse (3232211202), we get a palindrome (23443434432).

The spelling of 20211223230 in words is "twenty billion, two hundred eleven million, two hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 127 165 198 254 330 381 495 635 762 990 1143 1270 1397 1905 2286 2794 3810 4191 5715 6985 8382 11430 12573 13970 20955 25146 41910 62865 125730 160751 321502 482253 803755 964506 1446759 1607510 1768261 2411265 2893518 3536522 4822530 5304783 7233795 8841305 10609566 14467590 15914349 17682610 20415377 26523915 31828698 40830754 53047830 61246131 79571745 102076885 122492262 159143490 183738393 204153770 224569147 306230655 367476786 449138294 612461310 673707441 918691965 1122845735 1347414882 1837383930 2021122323 2245691470 3368537205 4042244646 6737074410 10105611615 20211223230