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227516333120340 = 2235112917118176797
BaseRepresentation
bin110011101110110011000110…
…001101110101101101010100
31002211120100102102220201211220
4303232303012031311231110
5214310111422234322330
62123515321023530340
765631340554612045
oct6356630615655524
91084510372821756
10227516333120340
1166548153787190
12216262337599b0
1399c490cac8344
144027bc65c48cc
151b4834e100710
hexceecc6375b54

227516333120340 has 96 divisors (see below), whose sum is σ = 695197231473024. Its totient is φ = 55136565941760.

The previous prime is 227516333120299. The next prime is 227516333120393. The reversal of 227516333120340 is 43021333615722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 227516333120292 and 227516333120301.

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, 57163179 + ... + 61013618.

It is an arithmetic number, because the mean of its divisors is an integer number (7241637827844).

Almost surely, 2227516333120340 is an apocalyptic number.

227516333120340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

227516333120340 is an abundant number, since it is smaller than the sum of its proper divisors (467680898352684).

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

227516333120340 is a wasteful number, since it uses less digits than its factorization.

227516333120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118179737 (or 118179735 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 227516333120340 in words is "two hundred twenty-seven trillion, five hundred sixteen billion, three hundred thirty-three million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2917 5834 8751 11668 14585 17502 29170 32087 35004 43755 58340 64174 87510 96261 128348 160435 175020 192522 320870 385044 481305 641740 962610 1925220 118176797 236353594 354530391 472707188 590883985 709060782 1181767970 1299944767 1418121564 1772651955 2363535940 2599889534 3545303910 3899834301 5199779068 6499723835 7090607820 7799668602 12999447670 15599337204 19499171505 25998895340 38998343010 77996686020 344721716849 689443433698 1034165150547 1378886867396 1723608584245 2068330301094 3447217168490 3791938885339 4136660602188 5170825752735 6894434336980 7583877770678 10341651505470 11375816656017 15167755541356 18959694426695 20683303010940 22751633312034 37919388853390 45503266624068 56879083280085 75838777706780 113758166560170 227516333120340