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226066222440 = 23325627961729
BaseRepresentation
bin1101001010001010011…
…0001100110101101000
3210121111221110222112100
43102202212030311220
512200440423104230
6251504155413400
722222063120422
oct3224246146550
9717457428470
10226066222440
11879685419a3
1237991154260
131841970ab36
14ad27cd3812
155d31a59660
hex34a298cd68

226066222440 has 48 divisors (see below), whose sum is σ = 734715224100. Its totient is φ = 60284325888.

The previous prime is 226066222433. The next prime is 226066222453. The reversal of 226066222440 is 44222660622.

226066222440 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 6 + 622 + 24 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221914482084 + 4151740356 = 471078^2 + 64434^2 .

It is a super-2 number, since 2×2260662224402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226066222395 and 226066222404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313980505 + ... + 313981224.

Almost surely, 2226066222440 is an apocalyptic number.

226066222440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226066222440 is an abundant number, since it is smaller than the sum of its proper divisors (508649001660).

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

226066222440 is a wasteful number, since it uses less digits than its factorization.

226066222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627961746 (or 627961739 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 226066222440 in words is "two hundred twenty-six billion, sixty-six million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 627961729 1255923458 1883885187 2511846916 3139808645 3767770374 5023693832 5651655561 6279617290 7535540748 9419425935 11303311122 12559234580 15071081496 18838851870 22606622244 25118469160 28258277805 37677703740 45213244488 56516555610 75355407480 113033111220 226066222440