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2210212220020 = 2257151652116033
BaseRepresentation
bin100000001010011010111…
…010100000110001110100
321211021221111020001201121
4200022122322200301310
5242203003312020040
64411205114233324
7315453055615210
oct40123272406164
97737844201647
102210212220020
117823891a6042
122b842b725844
1313056451618c
1478d90d77940
153c75cc7ec4a
hex2029aea0c74

2210212220020 has 96 divisors (see below), whose sum is σ = 5340790457856. Its totient is φ = 752606208000.

The previous prime is 2210212220011. The next prime is 2210212220057. The reversal of 2210212220020 is 200222120122.

It is a junction number, because it is equal to n+sod(n) for n = 2210212219976 and 2210212220003.

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, 137845924 + ... + 137861956.

It is an arithmetic number, because the mean of its divisors is an integer number (55633233936).

Almost surely, 22210212220020 is an apocalyptic number.

2210212220020 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 2210212220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670395228928).

2210212220020 is an abundant number, since it is smaller than the sum of its proper divisors (3130578237836).

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

2210212220020 is a wasteful number, since it uses less digits than its factorization.

2210212220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721 (or 22719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2210212220020 its reverse (200222120122), we get a palindrome (2410434340142).

The spelling of 2210212220020 in words is "two trillion, two hundred ten billion, two hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 6521 10570 13042 16033 21140 26084 32066 32605 45647 64132 65210 80165 91294 112231 130420 160330 182588 224462 228235 320660 448924 456470 561155 912940 984671 1122310 1969342 2244620 2420983 3938684 4841966 4923355 6892697 9683932 9846710 12104915 13785394 16946881 19693420 24209830 27570788 33893762 34463485 48419660 67787524 68926970 84734405 104551193 137853940 169468810 209102386 338937620 418204772 522755965 731858351 1045511930 1463716702 2091023860 2927433404 3659291755 7318583510 14637167020 15787230143 31574460286 63148920572 78936150715 110510611001 157872301430 221021222002 315744602860 442042444004 552553055005 1105106110010 2210212220020