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212210022220 = 22572347624037
BaseRepresentation
bin1100010110100010110…
…0111111011101001100
3202021202021121002011121
43011220230333131030
511434101231202340
6241253221130324
721221522266300
oct3055054773514
9667667532147
10212210022220
1181aa8030659
12351648599a4
131701bb399b1
14a3b196dd00
1557c037d94a
hex3168b3f74c

212210022220 has 72 divisors (see below), whose sum is σ = 519893546256. Its totient is φ = 72547929216.

The previous prime is 212210022209. The next prime is 212210022247. The reversal of 212210022220 is 22220012212.

It is a super-2 number, since 2×2122100222202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212210022194 and 212210022203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28042 + ... + 652078.

It is an arithmetic number, because the mean of its divisors is an integer number (7220743698).

Almost surely, 2212210022220 is an apocalyptic number.

212210022220 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 212210022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259946773128).

212210022220 is an abundant number, since it is smaller than the sum of its proper divisors (307683524036).

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

212210022220 is a wasteful number, since it uses less digits than its factorization.

212210022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624407 (or 624398 counting only the distinct ones).

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

Adding to 212210022220 its reverse (22220012212), we get a palindrome (234430034432).

The spelling of 212210022220 in words is "two hundred twelve billion, two hundred ten million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 347 490 694 980 1388 1735 2429 3470 4858 6940 9716 12145 17003 24290 34006 48580 68012 85015 170030 340060 624037 1248074 2496148 3120185 4368259 6240370 8736518 12480740 17473036 21841295 30577813 43682590 61155626 87365180 122311252 152889065 216540839 305778130 433081678 611556260 866163356 1082704195 1515785873 2165408390 3031571746 4330816780 6063143492 7578929365 10610501111 15157858730 21221002222 30315717460 42442004444 53052505555 106105011110 212210022220