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210220120220 = 225117965318523
BaseRepresentation
bin1100001111001000011…
…0000111100010011100
3202002121121020120210112
43003302012013202130
511421012322321340
6240323534425152
721121310352605
oct3036206074234
9662547216715
10210220120220
1181176860850
12348aa3621b8
1316a927b99a6
14a263582dac
155705813065
hex30f218789c

210220120220 has 96 divisors (see below), whose sum is σ = 488464542720. Its totient is φ = 75356386560.

The previous prime is 210220120183. The next prime is 210220120249. The reversal of 210220120220 is 22021022012.

It is a super-2 number, since 2×2102201202202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210220120195 and 210220120204.

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, 11339879 + ... + 11358401.

It is an arithmetic number, because the mean of its divisors is an integer number (5088172320).

Almost surely, 2210220120220 is an apocalyptic number.

210220120220 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 210220120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244232271360).

210220120220 is an abundant number, since it is smaller than the sum of its proper divisors (278244422500).

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

210220120220 is a wasteful number, since it uses less digits than its factorization.

210220120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19275 (or 19273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 210220120220 its reverse (22021022012), we get a palindrome (232241142232).

The spelling of 210220120220 in words is "two hundred ten billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 653 790 869 1306 1580 1738 2612 3265 3476 4345 6530 7183 8690 13060 14366 17380 18523 28732 35915 37046 51587 71830 74092 92615 103174 143660 185230 203753 206348 257935 370460 407506 515870 567457 815012 1018765 1031740 1134914 1463317 2037530 2269828 2837285 2926634 4075060 5674570 5853268 7316585 11349140 12095519 14633170 16096487 24191038 29266340 32192974 48382076 60477595 64385948 80482435 120955190 133050709 160964870 241910380 266101418 321929740 532202836 665253545 955546001 1330507090 1911092002 2661014180 3822184004 4777730005 9555460010 10511006011 19110920020 21022012022 42044024044 52555030055 105110060110 210220120220