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226649985440 = 2556012357009
BaseRepresentation
bin1101001100010101100…
…1000101000110100000
3210200000121221012211012
43103011121011012200
512203134344013230
6252042131440052
722242412042364
oct3230531050640
9720017835735
10226649985440
118813800a75a
1237b14756028
13184b0640028
14ad816512a4
155d67e1b395
hex34c56451a0

226649985440 has 48 divisors (see below), whose sum is σ = 536351767560. Its totient is φ = 90509107200.

The previous prime is 226649985437. The next prime is 226649985451. The reversal of 226649985440 is 44589946622.

It is a happy number.

226649985440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224475068944 + 2174916496 = 473788^2 + 46636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 226649985440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1082345 + ... + 1274664.

Almost surely, 2226649985440 is an apocalyptic number.

226649985440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226649985440 is an abundant number, since it is smaller than the sum of its proper divisors (309701782120).

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

226649985440 is a wasteful number, since it uses less digits than its factorization.

226649985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357625 (or 2357617 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 59.

The spelling of 226649985440 in words is "two hundred twenty-six billion, six hundred forty-nine million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 601 1202 2404 3005 4808 6010 9616 12020 19232 24040 48080 96160 2357009 4714018 9428036 11785045 18856072 23570090 37712144 47140180 75424288 94280360 188560720 377121440 1416562409 2833124818 5666249636 7082812045 11332499272 14165624090 22664998544 28331248180 45329997088 56662496360 113324992720 226649985440