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212223330 = 232511474561
BaseRepresentation
bin11001010011001…
…00010101100010
3112210100001200100
430221210111202
5413312121310
633020403230
75154603624
oct1451442542
9483301610
10212223330
11a9881590
125b0a6516
1334c76b47
1420284c14
1513970ec0
hexca64562

212223330 has 96 divisors (see below), whose sum is σ = 614884608. Its totient is φ = 50342400.

The previous prime is 212223313. The next prime is 212223343. The reversal of 212223330 is 33322212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 44250 + ... + 48810.

It is an arithmetic number, because the mean of its divisors is an integer number (6405048).

Almost surely, 2212223330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307442304).

212223330 is an abundant number, since it is smaller than the sum of its proper divisors (402661278).

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

212223330 is a wasteful number, since it uses less digits than its factorization.

212223330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 212223330 is about 14567.8869435481. The cubic root of 212223330 is about 596.4825023142.

Adding to 212223330 its reverse (33322212), we get a palindrome (245545542).

It can be divided in two parts, 2122 and 23330, that added together give a palindrome (25452).

The spelling of 212223330 in words is "two hundred twelve million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 47 55 66 90 94 99 110 141 165 198 235 282 330 423 470 495 517 705 846 990 1034 1410 1551 2115 2585 3102 4230 4561 4653 5170 7755 9122 9306 13683 15510 22805 23265 27366 41049 45610 46530 50171 68415 82098 100342 136830 150513 205245 214367 250855 301026 410490 428734 451539 501710 643101 752565 903078 1071835 1286202 1505130 1929303 2143670 2257695 2358037 3215505 3858606 4515390 4716074 6431010 7074111 9646515 11790185 14148222 19293030 21222333 23580370 35370555 42444666 70741110 106111665 212223330