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22002131002230 = 2325793583863671
BaseRepresentation
bin1010000000010110001010…
…01100111110001101110110
32212220101100100011111010100
411000023011030332031312
510340440331014032410
6114443350041534530
74430413213525311
oct500130514761566
985811310144110
1022002131002230
1170130623a1395
1225741b11a4446
13c37a3b19c172
14560ca1b47978
152824d4ea18c0
hex1402c533e376

22002131002230 has 96 divisors (see below), whose sum is σ = 57945896386560. Its totient is φ = 5791342639680.

The previous prime is 22002131002219. The next prime is 22002131002237. The reversal of 22002131002230 is 3220013120022.

22002131002230 is a `hidden beast` number, since 220 + 0 + 213 + 1 + 0 + 0 + 2 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002131002237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25043295 + ... + 25906965.

It is an arithmetic number, because the mean of its divisors is an integer number (603603087360).

Almost surely, 222002131002230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002131002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28972948193280).

22002131002230 is an abundant number, since it is smaller than the sum of its proper divisors (35943765384330).

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

22002131002230 is a wasteful number, since it uses less digits than its factorization.

22002131002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867346 (or 867343 counting only the distinct ones).

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

Adding to 22002131002230 its reverse (3220013120022), we get a palindrome (25222144122252).

The spelling of 22002131002230 in words is "twenty-two trillion, two billion, one hundred thirty-one million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 3583 7110 7166 10749 17915 21498 32247 35830 53745 64494 107490 161235 283057 322470 566114 849171 863671 1415285 1698342 1727342 2547513 2591013 2830570 4245855 4318355 5095026 5182026 7773039 8491710 8636710 12737565 12955065 15546078 25475130 25910130 38865195 68230009 77730390 136460018 204690027 341150045 409380054 614070081 682300090 1023450135 1228140162 2046900270 3070350405 3094533193 6140700810 6189066386 9283599579 15472665965 18567199158 27850798737 30945331930 46417997895 55701597474 92835995790 139253993685 244468122247 278507987370 488936244494 733404366741 1222340611235 1466808733482 2200213100223 2444681222470 3667021833705 4400426200446 7334043667410 11001065501115 22002131002230