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212666220 = 223251326991
BaseRepresentation
bin11001010110100…
…00011101101100
3112211011120012200
430223100131230
5413420304340
633034101500
75161430064
oct1453203554
9484146180
10212666220
11aa054308
125b27a890
13350a0600
142035c3a4
1513a0c330
hexcad076c

212666220 has 108 divisors (see below), whose sum is σ = 698626656. Its totient is φ = 52341120.

The previous prime is 212666203. The next prime is 212666227. The reversal of 212666220 is 22666212.

212666220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2126662202 = 90453842258176800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212666227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26925 + ... + 33915.

Almost surely, 2212666220 is an apocalyptic number.

212666220 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 212666220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349313328).

212666220 is an abundant number, since it is smaller than the sum of its proper divisors (485960436).

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

212666220 is a wasteful number, since it uses less digits than its factorization.

212666220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 212666220 is about 14583.0799216078. The cubic root of 212666220 is about 596.8971481781.

The spelling of 212666220 in words is "two hundred twelve million, six hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 6991 7605 10140 13982 15210 20973 27964 30420 34955 41946 62919 69910 83892 90883 104865 125838 139820 181766 209730 251676 272649 314595 363532 419460 454415 545298 629190 817947 908830 1090596 1181479 1258380 1363245 1635894 1817660 2362958 2726490 3271788 3544437 4089735 4725916 5452980 5907395 7088874 8179470 10633311 11814790 14177748 16358940 17722185 21266622 23629580 35444370 42533244 53166555 70888740 106333110 212666220