Search a number
-
+
122297405640 = 233519106950177
BaseRepresentation
bin111000111100101111…
…1100101000011001000
3102200200010010220120020
41301321133211003020
54000431113440030
6132103241500440
711556433540014
oct1617137450310
9380603126506
10122297405640
1147958773a73
121b8511a1720
13b6c01616a7
145cc24db544
1532aba13510
hex1c797e50c8

122297405640 has 128 divisors (see below), whose sum is σ = 386571312000. Its totient is φ = 30866669568.

The previous prime is 122297405639. The next prime is 122297405809. The reversal of 122297405640 is 46504792221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122297405592 and 122297405601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412232 + ... + 2462408.

It is an arithmetic number, because the mean of its divisors is an integer number (3020088375).

Almost surely, 2122297405640 is an apocalyptic number.

122297405640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122297405640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193285656000).

122297405640 is an abundant number, since it is smaller than the sum of its proper divisors (264273906360).

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

122297405640 is a wasteful number, since it uses less digits than its factorization.

122297405640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51279 (or 51275 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 122297405640 in words is "one hundred twenty-two billion, two hundred ninety-seven million, four hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1069 1140 2138 2280 3207 4276 5345 6414 8552 10690 12828 16035 20311 21380 25656 32070 40622 42760 50177 60933 64140 81244 100354 101555 121866 128280 150531 162488 200708 203110 243732 250885 301062 304665 401416 406220 487464 501770 602124 609330 752655 812440 953363 1003540 1204248 1218660 1505310 1906726 2007080 2437320 2860089 3010620 3813452 4766815 5720178 6021240 7626904 9533630 11440356 14300445 19067260 22880712 28600890 38134520 53639213 57201780 107278426 114403560 160917639 214556852 268196065 321835278 429113704 536392130 643670556 804588195 1019145047 1072784260 1287341112 1609176390 2038290094 2145568520 3057435141 3218352780 4076580188 5095725235 6114870282 6436705560 8153160376 10191450470 12229740564 15287175705 20382900940 24459481128 30574351410 40765801880 61148702820 122297405640