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212797368 = 23347431091
BaseRepresentation
bin11001010111100…
…00011110111000
3112211102020010000
430223300132320
5413434003433
633040553000
75162514330
oct1453603670
9484366100
10212797368
11aa1338a3
125b322760
1335118204
14203940c0
1513a36113
hexcaf07b8

212797368 has 160 divisors (see below), whose sum is σ = 697656960. Its totient is φ = 59330880.

The previous prime is 212797363. The next prime is 212797373. The reversal of 212797368 is 863797212.

212797368 is a `hidden beast` number, since 212 + 79 + 7 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (212797363) and next prime (212797373).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212797363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194503 + ... + 195593.

It is an arithmetic number, because the mean of its divisors is an integer number (4360356).

Almost surely, 2212797368 is an apocalyptic number.

212797368 is a gapful number since it is divisible by the number (28) 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 212797368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828480).

212797368 is an abundant number, since it is smaller than the sum of its proper divisors (484859592).

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

212797368 is a wasteful number, since it uses less digits than its factorization.

212797368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 212797368 is about 14587.5758095717. The cubic root of 212797368 is about 597.0198220736.

The spelling of 212797368 in words is "two hundred twelve million, seven hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 81 84 86 108 126 129 162 168 172 189 216 252 258 301 324 344 378 387 504 516 567 602 648 756 774 903 1032 1091 1134 1161 1204 1512 1548 1806 2182 2268 2322 2408 2709 3096 3273 3483 3612 4364 4536 4644 5418 6546 6966 7224 7637 8127 8728 9288 9819 10836 13092 13932 15274 16254 19638 21672 22911 24381 26184 27864 29457 30548 32508 39276 45822 46913 48762 58914 61096 65016 68733 78552 88371 91644 93826 97524 117828 137466 140739 176742 183288 187652 195048 206199 235656 274932 281478 328391 353484 375304 412398 422217 549864 562956 618597 656782 706968 824796 844434 985173 1125912 1237194 1266651 1313564 1649592 1688868 1970346 2474388 2533302 2627128 2955519 3377736 3799953 3940692 4948776 5066604 5911038 7599906 7881384 8866557 10133208 11822076 15199812 17733114 23644152 26599671 30399624 35466228 53199342 70932456 106398684 212797368