Search a number
-
+
22202021222010 = 2325729241904047
BaseRepresentation
bin1010000110001010011111…
…00101101001011001111010
32220121111022000212202110200
411003011033211221121322
510402224214413101020
6115115245011023030
74451020532414340
oct503051745513172
986544260782420
1022202021222010
11708a9081a1033
1225a6a97b9aa76
13c50845832016
1456a82540d990
152877d398d590
hex14314f96967a

22202021222010 has 144 divisors (see below), whose sum is σ = 68325053112576. Its totient is φ = 4899756290688.

The previous prime is 22202021221979. The next prime is 22202021222047. The reversal of 22202021222010 is 1022212020222.

22202021222010 is a `hidden beast` number, since 2 + 220 + 2 + 0 + 212 + 220 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20422194 + ... + 21481853.

It is an arithmetic number, because the mean of its divisors is an integer number (474479535504).

Almost surely, 222202021222010 is an apocalyptic number.

22202021222010 is an abundant number, since it is smaller than the sum of its proper divisors (46123031890566).

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

22202021222010 is a wasteful number, since it uses less digits than its factorization.

22202021222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41904125 (or 41904093 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22202021222010 its reverse (1022212020222), we get a palindrome (23224233242232).

The spelling of 22202021222010 in words is "twenty-two trillion, two hundred two billion, twenty-one million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 841 870 1015 1218 1305 1682 1827 2030 2523 2610 3045 3654 4205 5046 5887 6090 7569 8410 9135 11774 12615 15138 17661 18270 25230 29435 35322 37845 52983 58870 75690 88305 105966 176610 264915 529830 41904047 83808094 125712141 209520235 251424282 293328329 377136423 419040470 586656658 628560705 754272846 879984987 1215217363 1257121410 1466641645 1759969974 1885682115 2430434726 2639954961 2933283290 3645652089 3771364230 4399924935 5279909922 6076086815 7291304178 8506521541 8799849870 10936956267 12152173630 13199774805 17013043082 18228260445 21873912534 25519564623 26399549610 35241303527 36456520890 42532607705 51039129246 54684781335 70482607054 76558693869 85065215410 105723910581 109369562670 127597823115 153117387738 176206517635 211447821162 246689124689 255195646230 317171731743 352413035270 382793469345 493378249378 528619552905 634343463486 740067374067 765586938690 1057239105810 1233445623445 1480134748134 1585858658715 2220202122201 2466891246890 3171717317430 3700336870335 4440404244402 7400673740670 11101010611005 22202021222010