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221324340330 = 23357130737607
BaseRepresentation
bin1100111000011111110…
…1010110110001101010
3210011021110210102011000
43032013331112301222
512111233012342310
6245401444415430
721663423565302
oct3160775266152
9704243712130
10221324340330
1185954902765
1236a890a7576
1317b421a4932
14a9d8222602
155b555dc4c0
hex3387f56c6a

221324340330 has 128 divisors (see below), whose sum is σ = 600476405760. Its totient is φ = 57997477440.

The previous prime is 221324340323. The next prime is 221324340337. The reversal of 221324340330 is 33043423122.

221324340330 is a `hidden beast` number, since 2 + 2 + 1 + 324 + 3 + 4 + 0 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (221324340323) and next prime (221324340337).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221324340294 and 221324340303.

It is not an unprimeable number, because it can be changed into a prime (221324340337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5866387 + ... + 5903993.

It is an arithmetic number, because the mean of its divisors is an integer number (4691221920).

Almost surely, 2221324340330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221324340330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300238202880).

221324340330 is an abundant number, since it is smaller than the sum of its proper divisors (379152065430).

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

221324340330 is a wasteful number, since it uses less digits than its factorization.

221324340330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38001 (or 37995 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 221324340330 its reverse (33043423122), we get a palindrome (254367763452).

The spelling of 221324340330 in words is "two hundred twenty-one billion, three hundred twenty-four million, three hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 307 355 426 614 639 710 921 1065 1278 1535 1842 1917 2130 2763 3070 3195 3834 4605 5526 6390 8289 9210 9585 13815 16578 19170 21797 27630 37607 41445 43594 65391 75214 82890 108985 112821 130782 188035 196173 217970 225642 326955 338463 376070 392346 564105 588519 653910 676926 980865 1015389 1128210 1177038 1692315 1961730 2030778 2670097 2942595 3384630 5076945 5340194 5885190 8010291 10153890 11545349 13350485 16020582 23090698 24030873 26700970 34636047 40051455 48061746 57726745 69272094 72092619 80102910 103908141 115453490 120154365 144185238 173180235 207816282 240308730 311724423 346360470 360463095 519540705 623448846 720926190 819719779 1039081410 1558622115 1639439558 2459159337 3117244230 4098598895 4918318674 7377478011 8197197790 12295796685 14754956022 22132434033 24591593370 36887390055 44264868066 73774780110 110662170165 221324340330