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227514128385050 = 252131720589513881
BaseRepresentation
bin110011101110110001000010…
…110011011100010000011010
31002211120010201210022120121022
4303232301002303130100122
5214310042413331310200
62123514314144442442
765631232123641263
oct6356610263342032
91084503653276538
10227514128385050
1166547222212a01
1221625919319422
1399c464b0c9550
144027a5787396a
151b4827079a885
hexceec42cdc41a

227514128385050 has 48 divisors (see below), whose sum is σ = 482535847338552. Its totient is φ = 79063733299200.

The previous prime is 227514128385017. The next prime is 227514128385113. The reversal of 227514128385050 is 50583821415722.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 494185098289 + 227019943286761 = 702983^2 + 15067181^2 .

It is a super-2 number, since 2×2275141283850502 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 227514128384983 and 227514128385001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10294745891 + ... + 10294767990.

Almost surely, 2227514128385050 is an apocalyptic number.

227514128385050 is an abundant number, since it is smaller than the sum of its proper divisors (255021718953502).

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

227514128385050 is a wasteful number, since it uses less digits than its factorization.

227514128385050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20589513923 (or 20589513918 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 53.

The spelling of 227514128385050 in words is "two hundred twenty-seven trillion, five hundred fourteen billion, one hundred twenty-eight million, three hundred eighty-five thousand, fifty".

Divisors: 1 2 5 10 13 17 25 26 34 50 65 85 130 170 221 325 425 442 650 850 1105 2210 5525 11050 20589513881 41179027762 102947569405 205895138810 267663680453 350021735977 514737847025 535327360906 700043471954 1029475694050 1338318402265 1750108679885 2676636804530 3500217359770 4550282567701 6691592011325 8750543399425 9100565135402 13383184022650 17501086798850 22751412838505 45502825677010 113757064192525 227514128385050