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102222412240 = 245131933115629
BaseRepresentation
bin101111100110011101…
…1100011100111010000
3100202212001111120201011
41133030323203213100
53133322414142430
6114543233020304
710246111111324
oct1371473434720
9322761446634
10102222412240
113a396983333
121798a0b4694
13984108a480
144d3a293984
1529d43d222a
hex17ccee39d0

102222412240 has 160 divisors (see below), whose sum is σ = 270251452800. Its totient is φ = 35646842880.

The previous prime is 102222412231. The next prime is 102222412273. The reversal of 102222412240 is 42214222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6532746 + ... + 6548374.

It is an arithmetic number, because the mean of its divisors is an integer number (1689071580).

Almost surely, 2102222412240 is an apocalyptic number.

102222412240 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 102222412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135125726400).

102222412240 is an abundant number, since it is smaller than the sum of its proper divisors (168029040560).

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

102222412240 is a wasteful number, since it uses less digits than its factorization.

102222412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 15999 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 102222412240 its reverse (42214222201), we get a palindrome (144436634441).

The spelling of 102222412240 in words is "one hundred two billion, two hundred twenty-two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 331 380 494 520 662 760 988 1040 1235 1324 1520 1655 1976 2470 2648 3310 3952 4303 4940 5296 6289 6620 8606 9880 12578 13240 15629 17212 19760 21515 25156 26480 31258 31445 34424 43030 50312 62516 62890 68848 78145 81757 86060 100624 125032 125780 156290 163514 172120 203177 250064 251560 296951 312580 327028 344240 406354 408785 503120 593902 625160 654056 812708 817570 1015885 1187804 1250320 1308112 1484755 1625416 1635140 2031770 2375608 2969510 3250832 3270280 3860363 4063540 4751216 5173199 5939020 6540560 7720726 8127080 10346398 11878040 15441452 16254160 19301815 20692796 23756080 25865995 30882904 38603630 41385592 51731990 61765808 67251587 77207260 82771184 98290781 103463980 134503174 154414520 196581562 206927960 269006348 308829040 336257935 393163124 413855920 491453905 538012696 672515870 786326248 982907810 1076025392 1277780153 1345031740 1572652496 1965815620 2555560306 2690063480 3931631240 5111120612 5380126960 6388900765 7863262480 10222241224 12777801530 20444482448 25555603060 51111206120 102222412240