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2200100220 = 22325171993613
BaseRepresentation
bin1000001100100010…
…1101110101111100
312200022212200010100
42003020231311330
514001211201340
61002151441100
7105343354233
oct20310556574
95608780110
102200100220
11a2999894a
12514986190
13290a68166
1416c2a5b1a
15cd23b830
hex8322dd7c

2200100220 has 144 divisors (see below), whose sum is σ = 7103678400. Its totient is φ = 549255168.

The previous prime is 2200100209. The next prime is 2200100249. The reversal of 2200100220 is 220010022.

2200100220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 607134 + ... + 610746.

It is an arithmetic number, because the mean of its divisors is an integer number (49331100).

Almost surely, 22200100220 is an apocalyptic number.

2200100220 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 2200100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551839200).

2200100220 is an abundant number, since it is smaller than the sum of its proper divisors (4903578180).

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

2200100220 is a wasteful number, since it uses less digits than its factorization.

2200100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2200100220 is about 46905.2259348572. The cubic root of 2200100220 is about 1300.6111958356.

Adding to 2200100220 its reverse (220010022), we get a palindrome (2420110242).

The spelling of 2200100220 in words is "two billion, two hundred million, one hundred 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 90 102 153 170 180 199 204 255 306 340 398 510 597 612 765 796 995 1020 1194 1530 1791 1990 2388 2985 3060 3383 3582 3613 3980 5970 6766 7164 7226 8955 10149 10839 11940 13532 14452 16915 17910 18065 20298 21678 30447 32517 33830 35820 36130 40596 43356 50745 54195 60894 61421 65034 67660 72260 101490 108390 121788 122842 130068 152235 162585 184263 202980 216780 245684 304470 307105 325170 368526 552789 608940 614210 650340 718987 737052 921315 1105578 1228420 1437974 1842630 2156961 2211156 2763945 2875948 3594935 3685260 4313922 5527890 6470883 7189870 8627844 10784805 11055780 12222779 12941766 14379740 21569610 24445558 25883532 32354415 36668337 43139220 48891116 61113895 64708830 73336674 110005011 122227790 129417660 146673348 183341685 220010022 244455580 366683370 440020044 550025055 733366740 1100050110 2200100220