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122225442350 = 252114114293793
BaseRepresentation
bin111000111010100110…
…1000011111000101110
3102200111002201210111012
41301311031003320232
54000304203123400
6132052151225222
711554601055344
oct1616515037056
9380432653435
10122225442350
1147921091980
121b831078212
13b6ab28636b
145cb6b27994
1532a554ad35
hex1c75343e2e

122225442350 has 96 divisors (see below), whose sum is σ = 254300286240. Its totient is φ = 43319808000.

The previous prime is 122225442349. The next prime is 122225442359. The reversal of 122225442350 is 53244522221.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122225442359) 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, 32222054 + ... + 32225846.

It is an arithmetic number, because the mean of its divisors is an integer number (2648961315).

Almost surely, 2122225442350 is an apocalyptic number.

122225442350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122225442350 is an abundant number, since it is smaller than the sum of its proper divisors (132074843890).

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

122225442350 is a wasteful number, since it uses less digits than its factorization.

122225442350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 122225442350 its reverse (53244522221), we get a palindrome (175469964571).

The spelling of 122225442350 in words is "one hundred twenty-two billion, two hundred twenty-five million, four hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 41 50 55 82 110 205 275 410 451 550 902 1025 1429 2050 2255 2858 3793 4510 7145 7586 11275 14290 15719 18965 22550 31438 35725 37930 41723 58589 71450 78595 83446 94825 117178 155513 157190 189650 208615 292945 311026 392975 417230 585890 644479 777565 785950 1043075 1288958 1464725 1555130 1710643 2086150 2929450 3222395 3421286 3887825 5420197 6444790 7775650 8553215 10840394 16111975 17106430 27100985 32223950 42766075 54201970 59622167 85532150 119244334 135504925 222228077 271009850 298110835 444456154 596221670 1111140385 1490554175 2222280770 2444508847 2981108350 4889017694 5555701925 11111403850 12222544235 24445088470 61112721175 122225442350