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226035840 = 2735117727
BaseRepresentation
bin11010111100100…
…00100010000000
3120202022210212210
431132100202000
5430331121330
634232422120
75413162422
oct1536204200
9522283783
10226035840
11106656088
1263847940
1337aa1b24
142203c812
1514c9d8b0
hexd790880

226035840 has 64 divisors (see below), whose sum is σ = 720495360. Its totient is φ = 60275712.

The previous prime is 226035839. The next prime is 226035847. The reversal of 226035840 is 48530622.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 226035798 and 226035807.

It is not an unprimeable number, because it can be changed into a prime (226035847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56944 + ... + 60783.

It is an arithmetic number, because the mean of its divisors is an integer number (11257740).

Almost surely, 2226035840 is an apocalyptic number.

226035840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226035840 is an abundant number, since it is smaller than the sum of its proper divisors (494459520).

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

226035840 is a wasteful number, since it uses less digits than its factorization.

226035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117749 (or 117737 counting only the distinct ones).

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

The square root of 226035840 is about 15034.4883517864. The cubic root of 226035840 is about 609.1521320963.

The spelling of 226035840 in words is "two hundred twenty-six million, thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 117727 235454 353181 470908 588635 706362 941816 1177270 1412724 1765905 1883632 2354540 2825448 3531810 3767264 4709080 5650896 7063620 7534528 9418160 11301792 14127240 15069056 18836320 22603584 28254480 37672640 45207168 56508960 75345280 113017920 226035840