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23330111220 = 223251314296977
BaseRepresentation
bin10101101110100101…
…010011111011110100
32020012220201110001100
4111232211103323310
5340240002024340
614415005130100
71454066446653
oct255645237364
966186643040
1023330111220
11999226a959
124631259930
13227a5a0750
1411b469d19a
159182ba830
hex56e953ef4

23330111220 has 144 divisors (see below), whose sum is σ = 76275959760. Its totient is φ = 5737955328.

The previous prime is 23330111213. The next prime is 23330111227. The reversal of 23330111220 is 2211103332.

23330111220 is a `hidden beast` number, since 2 + 3 + 330 + 111 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (23330111213) and next prime (23330111227).

It can be written as a sum of positive squares in 8 ways, for example, as 9446673636 + 13883437584 = 97194^2 + 117828^2 .

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 = 23330111193 and 23330111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330111227) 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, 3340372 + ... + 3347348.

It is an arithmetic number, because the mean of its divisors is an integer number (529694165).

Almost surely, 223330111220 is an apocalyptic number.

23330111220 is a gapful number since it is divisible by the number (20) 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 23330111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137979880).

23330111220 is an abundant number, since it is smaller than the sum of its proper divisors (52945848540).

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

23330111220 is a wasteful number, since it uses less digits than its factorization.

23330111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23330111220 its reverse (2211103332), we get a palindrome (25541214552).

The spelling of 23330111220 in words is "twenty-three billion, three hundred thirty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1429 2340 2858 4287 5716 6977 7145 8574 12861 13954 14290 17148 18577 20931 21435 25722 27908 28580 34885 37154 41862 42870 51444 55731 62793 64305 69770 74308 83724 85740 90701 92885 104655 111462 125586 128610 139540 167193 181402 185770 209310 222924 251172 257220 272103 278655 313965 334386 362804 371540 418620 453505 544206 557310 627930 668772 816309 835965 907010 1088412 1114620 1255860 1360515 1632618 1671930 1814020 2721030 3265236 3343860 4081545 5442060 8163090 9970133 16326180 19940266 29910399 39880532 49850665 59820798 89731197 99701330 119641596 129611729 149551995 179462394 199402660 259223458 299103990 358924788 388835187 448655985 518446916 598207980 648058645 777670374 897311970 1166505561 1296117290 1555340748 1794623940 1944175935 2333011122 2592234580 3888351870 4666022244 5832527805 7776703740 11665055610 23330111220