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2213122230 = 2335117091051
BaseRepresentation
bin1000001111101001…
…1001000010110110
312201020101020222000
42003322121002312
514013024402410
61003334520130
7105562141254
oct20372310266
95636336860
102213122230
11a36282540
12519206046
132936773a7
1416dcd55d4
15ce45edc0
hex83e990b6

2213122230 has 128 divisors (see below), whose sum is σ = 6453388800. Its totient is φ = 535248000.

The previous prime is 2213122207. The next prime is 2213122267. The reversal of 2213122230 is 322213122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2105205 + ... + 2106255.

It is an arithmetic number, because the mean of its divisors is an integer number (50417100).

Almost surely, 22213122230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226694400).

2213122230 is an abundant number, since it is smaller than the sum of its proper divisors (4240266570).

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

2213122230 is a wasteful number, since it uses less digits than its factorization.

2213122230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213122230 is about 47043.8330708713. The cubic root of 2213122230 is about 1303.1721801664.

Adding to 2213122230 its reverse (322213122), we get a palindrome (2535335352).

The spelling of 2213122230 in words is "two billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 709 990 1051 1418 1485 2102 2127 2970 3153 3545 4254 5255 6306 6381 7090 7799 9459 10510 10635 11561 12762 15598 15765 18918 19143 21270 23122 23397 28377 31530 31905 34683 38286 38995 46794 47295 56754 57805 63810 69366 70191 77990 94590 95715 104049 115610 116985 140382 141885 173415 191430 208098 210573 233970 283770 312147 346830 350955 421146 520245 624294 701910 745159 1040490 1052865 1490318 1560735 2105730 2235477 3121470 3725795 4470954 6706431 7451590 8196749 11177385 13412862 16393498 20119293 22354770 24590247 33532155 40238586 40983745 49180494 67064310 73770741 81967490 100596465 122951235 147541482 201192930 221312223 245902470 368853705 442624446 737707410 1106561115 2213122230