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22321130220 = 223251731723011
BaseRepresentation
bin10100110010011100…
…010110101011101100
32010121121010220022200
4110302130112223230
5331203202131340
614130523141500
71420065322254
oct246234265354
963547126280
1022321130220
119514772564
1243ab374890
13214953a77c
14111a694964
158a9913330
hex532716aec

22321130220 has 144 divisors (see below), whose sum is σ = 71919495648. Its totient is φ = 5584250880.

The previous prime is 22321130201. The next prime is 22321130239. The reversal of 22321130220 is 2203112322.

22321130220 is a `hidden beast` number, since 22 + 321 + 1 + 302 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22321130201) and next prime (22321130239).

It is a super-3 number, since 3×223211302203 (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 junction number, because it is equal to n+sod(n) for n = 22321130193 and 22321130202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958515 + ... + 981525.

It is an arithmetic number, because the mean of its divisors is an integer number (499440942).

Almost surely, 222321130220 is an apocalyptic number.

22321130220 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 22321130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35959747824).

22321130220 is an abundant number, since it is smaller than the sum of its proper divisors (49598365428).

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

22321130220 is a wasteful number, since it uses less digits than its factorization.

22321130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23360 (or 23355 counting only the distinct ones).

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

Adding to 22321130220 its reverse (2203112322), we get a palindrome (24524242542).

The spelling of 22321130220 in words is "twenty-two billion, three hundred twenty-one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 317 340 510 612 634 765 951 1020 1268 1530 1585 1902 2853 3060 3170 3804 4755 5389 5706 6340 9510 10778 11412 14265 16167 19020 21556 23011 26945 28530 32334 46022 48501 53890 57060 64668 69033 80835 92044 97002 107780 115055 138066 161670 194004 207099 230110 242505 276132 323340 345165 391187 414198 460220 485010 690330 782374 828396 970020 1035495 1173561 1380660 1564748 1955935 2070990 2347122 3520683 3911870 4141980 4694244 5867805 7041366 7294487 7823740 11735610 14082732 14588974 17603415 21883461 23471220 29177948 35206830 36472435 43766922 65650383 70413660 72944870 87533844 109417305 124006279 131300766 145889740 218834610 248012558 262601532 328251915 372018837 437669220 496025116 620031395 656503830 744037674 1116056511 1240062790 1313007660 1488075348 1860094185 2232113022 2480125580 3720188370 4464226044 5580282555 7440376740 11160565110 22321130220