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220210100211220 = 22572327176868117
BaseRepresentation
bin110010000100011110101000…
…110011001000111000010100
31001212200212202111201010210121
4302010132220303020320110
5212330410241123224340
62100203042400201324
764245440365560400
oct6204365063107024
91055625674633717
10220210100211220
1164190640781789
1220846239009244
1395b4953267c12
143c54323530100
151a6d283e4e94a
hexc847a8cc8e14

220210100211220 has 72 divisors (see below), whose sum is σ = 537958336829256. Its totient is φ = 75498287106816.

The previous prime is 220210100211169. The next prime is 220210100211223. The reversal of 220210100211220 is 22112001012022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10425640223376 + 209784459987844 = 3228876^2 + 14483938^2 .

It is a super-2 number, since 2×2202101002112202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220210100211194 and 220210100211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220210100211223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28628602 + ... + 35496718.

It is an arithmetic number, because the mean of its divisors is an integer number (7471643567073).

Almost surely, 2220210100211220 is an apocalyptic number.

220210100211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220210100211220 is an abundant number, since it is smaller than the sum of its proper divisors (317748236618036).

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

220210100211220 is a wasteful number, since it uses less digits than its factorization.

220210100211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900857 (or 6900848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220210100211220 its reverse (22112001012022), we get a palindrome (242322101223242).

The spelling of 220210100211220 in words is "two hundred twenty trillion, two hundred ten billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 32717 65434 130868 163585 229019 327170 458038 654340 916076 1145095 1603133 2290190 3206266 4580380 6412532 6868117 8015665 13736234 16031330 27472468 32062660 34340585 48076819 68681170 96153638 137362340 192307276 240384095 336537733 480768190 673075466 961536380 1346150932 1682688665 3365377330 6730754660 224704183889 449408367778 898816735556 1123520919445 1572929287223 2247041838890 3145858574446 4494083677780 6291717148892 7864646436115 11010505010561 15729292872230 22021010021122 31458585744460 44042020042244 55052525052805 110105050105610 220210100211220