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201222221148 = 2232131760142083
BaseRepresentation
bin1011101101100111000…
…1110110110101011100
3201020101112002221201100
42323121301312311130
511244100342034043
6232235030313100
720352321441654
oct2733161666534
9636345087640
10201222221148
1178379775023
1232bb8ab8790
1315c8a5c3a60
149a4c557364
15537a8edcd3
hex2ed9c76d5c

201222221148 has 144 divisors (see below), whose sum is σ = 580972313376. Its totient is φ = 58174156800.

The previous prime is 201222221147. The next prime is 201222221171. The reversal of 201222221148 is 841122222102.

201222221148 is a `hidden beast` number, since 201 + 222 + 221 + 14 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222221147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4760515 + ... + 4802597.

It is an arithmetic number, because the mean of its divisors is an integer number (4034529954).

Almost surely, 2201222221148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222221148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290486156688).

201222221148 is an abundant number, since it is smaller than the sum of its proper divisors (379750092228).

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

201222221148 is a wasteful number, since it uses less digits than its factorization.

201222221148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42724 (or 42719 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 201222221148 in words is "two hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 601 612 663 884 1202 1326 1803 1989 2404 2652 3606 3978 5409 7212 7813 7956 10217 10818 15626 20434 21636 23439 30651 31252 40868 42083 46878 61302 70317 84166 91953 93756 122604 126249 132821 140634 168332 183906 252498 265642 281268 367812 378747 398463 504996 531284 547079 715411 757494 796926 1094158 1195389 1430822 1514988 1593852 1641237 2146233 2188316 2390778 2861644 3282474 4292466 4781556 4923711 6438699 6564948 8584932 9300343 9847422 12877398 18600686 19694844 25291883 25754796 27901029 37201372 50583766 55802058 75875649 83703087 101167532 111604116 151751298 167406174 227626947 303502596 328794479 334812348 429962011 455253894 657588958 859924022 910507788 986383437 1289886033 1315177916 1719848044 1972766874 2579772066 2959150311 3869658099 3945533748 5159544132 5589506143 5918300622 7739316198 11179012286 11836601244 15478632396 16768518429 22358024572 33537036858 50305555287 67074073716 100611110574 201222221148