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226385040 = 24357134753
BaseRepresentation
bin11010111111001…
…01110010010000
3120202222112220010
431133211302100
5430423310130
634244114520
75416145460
oct1537456220
9522875803
10226385040
11106874482
1263995a40
1337b94a5b
14220cdba0
1514d1c0b0
hexd7e5c90

226385040 has 80 divisors (see below), whose sum is σ = 802055808. Its totient is φ = 51744768.

The previous prime is 226385023. The next prime is 226385053. The reversal of 226385040 is 40583622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 226384989 and 226385007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65697 + ... + 69056.

Almost surely, 2226385040 is an apocalyptic number.

226385040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226385040 is an abundant number, since it is smaller than the sum of its proper divisors (575670768).

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

226385040 is a wasteful number, since it uses less digits than its factorization.

226385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134776 (or 134770 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 226385040 is about 15046.0971683689. The cubic root of 226385040 is about 609.4656612513.

The spelling of 226385040 in words is "two hundred twenty-six million, three hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 134753 269506 404259 539012 673765 808518 943271 1078024 1347530 1617036 1886542 2021295 2156048 2695060 2829813 3234072 3773084 4042590 4716355 5390120 5659626 6468144 7546168 8085180 9432710 10780240 11319252 14149065 15092336 16170360 18865420 22638504 28298130 32340720 37730840 45277008 56596260 75461680 113192520 226385040