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118229414022225 = 3252112658992
BaseRepresentation
bin11010111000011101101110…
…001110011000110001010001
3120111121121210010220000110100
4122320131232032120301101
5110444032314442202400
61055241502030323013
733621536044534002
oct3270355616306121
9514547703800410
10118229414022225
11347428a3a87900
121131579b659469
1350c7ca805055c
14212a496d731a9
15da0642078100
hex6b876e398c51

118229414022225 has 81 divisors (see below), whose sum is σ = 232766741069499. Its totient is φ = 57322482386400.

The previous prime is 118229414022193. The next prime is 118229414022287. The reversal of 118229414022225 is 522220414922811.

The square root of 118229414022225 is 10873335.

It is a perfect power (a square), and thus also a powerful number.

118229414022225 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 2 + 9 + 414 + 0 + 2 + 2 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42562589048001 + 75666824974224 = 6524001^2 + 8698668^2 .

It is not a de Polignac number, because 118229414022225 - 25 = 118229414022193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1794067326 + ... + 1794133224.

Almost surely, 2118229414022225 is an apocalyptic number.

118229414022225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

118229414022225 is the 10873335-th square number.

118229414022225 is the 5436668-th centered octagonal number.

It is an amenable number.

118229414022225 is a deficient number, since it is larger than the sum of its proper divisors (114537327047274).

118229414022225 is an frugal number, since it uses more digits than its factorization.

118229414022225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131836 (or 65918 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 118229414022225 in words is "one hundred eighteen trillion, two hundred twenty-nine billion, four hundred fourteen million, twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 27225 65899 197697 329495 593091 724889 988485 1647475 2174667 2965455 3624445 4942425 6524001 7973779 10873335 14827275 18122225 23921337 32620005 39868895 54366675 71764011 119606685 163100025 199344475 358820055 598033425 1794100275 4342678201 13028034603 21713391005 39084103809 47769460211 65140173015 108566955025 143308380633 195420519045 238847301055 325700865075 429925141899 525464062321 716541903165 977102595225 1194236505275 1576392186963 2149625709495 2627320311605 3582709515825 4729176560889 7881960934815 10748128547475 13136601558025 23645882804445 39409804674075 118229414022225