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226810440 = 23325630029
BaseRepresentation
bin11011000010011…
…01101001001000
3120210210011102200
431201031221020
5431030413230
634301200200
75422566633
oct1541155110
9523704380
10226810440
1110703504a
1263b60060
1337cb357c
14221a0c1a
1514da3160
hexd84da48

226810440 has 48 divisors (see below), whose sum is σ = 737135100. Its totient is φ = 60482688.

The previous prime is 226810427. The next prime is 226810453. The reversal of 226810440 is 44018622.

It is an interprime number because it is at equal distance from previous prime (226810427) and next prime (226810453).

It can be written as a sum of positive squares in 2 ways, for example, as 215561124 + 11249316 = 14682^2 + 3354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314655 + ... + 315374.

Almost surely, 2226810440 is an apocalyptic number.

226810440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226810440 is an abundant number, since it is smaller than the sum of its proper divisors (510324660).

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

226810440 is a wasteful number, since it uses less digits than its factorization.

226810440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630046 (or 630039 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 226810440 is about 15060.2270899213. The cubic root of 226810440 is about 609.8471712451.

The spelling of 226810440 in words is "two hundred twenty-six million, eight hundred ten 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 630029 1260058 1890087 2520116 3150145 3780174 5040232 5670261 6300290 7560348 9450435 11340522 12600580 15120696 18900870 22681044 25201160 28351305 37801740 45362088 56702610 75603480 113405220 226810440