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210222220020 = 223541330725841
BaseRepresentation
bin1100001111001000111…
…0001000001011110100
3202002121202012021011220
43003302032020023310
511421013342020040
6240324051430340
721121334246511
oct3036216101364
9662552167156
10210222220020
1181177a6541a
12348aabb53b0
1316a93073687
14a26396c308
155705aca2d0
hex30f23882f4

210222220020 has 96 divisors (see below), whose sum is σ = 603184530816. Its totient is φ = 54673305600.

The previous prime is 210222219953. The next prime is 210222220037. The reversal of 210222220020 is 20022222012.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8122300 + ... + 8148140.

It is an arithmetic number, because the mean of its divisors is an integer number (6283172196).

Almost surely, 2210222220020 is an apocalyptic number.

210222220020 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 210222220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301592265408).

210222220020 is an abundant number, since it is smaller than the sum of its proper divisors (392962310796).

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

210222220020 is a wasteful number, since it uses less digits than its factorization.

210222220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 210222220020 its reverse (20022222012), we get a palindrome (230244442032).

The spelling of 210222220020 in words is "two hundred ten billion, two hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 3307 6614 9921 13228 16535 19842 25841 33070 39684 49605 51682 66140 77523 99210 103364 129205 135587 155046 198420 258410 271174 310092 387615 406761 516820 542348 677935 775230 813522 1059481 1355870 1550460 1627044 2033805 2118962 2711740 3178443 4067610 4237924 5297405 6356886 8135220 10594810 12713772 15892215 21189620 31784430 63568860 85456187 170912374 256368561 341824748 427280935 512737122 854561870 1025474244 1281842805 1709123740 2563685610 3503703667 5127371220 7007407334 10511111001 14014814668 17518518335 21022222002 35037036670 42044444004 52555555005 70074073340 105111110010 210222220020