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223946268 = 223721329297
BaseRepresentation
bin11010101100100…
…10011000011100
3120121101122112020
431112102120130
5424312240033
634115540140
75356340400
oct1526223034
9517348466
10223946268
11105459167
1262bba650
133751c9b0
1421a57100
15149d96b3
hexd59261c

223946268 has 72 divisors (see below), whose sum is σ = 654634512. Its totient is φ = 59060736.

The previous prime is 223946267. The next prime is 223946269. The reversal of 223946268 is 862649322.

It is an interprime number because it is at equal distance from previous prime (223946267) and next prime (223946269).

It is a super-2 number, since 2×2239462682 = 100303861902255648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223946267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7005 + ... + 22292.

It is an arithmetic number, because the mean of its divisors is an integer number (9092146).

Almost surely, 2223946268 is an apocalyptic number.

223946268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

223946268 is an abundant number, since it is smaller than the sum of its proper divisors (430688244).

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

223946268 is a wasteful number, since it uses less digits than its factorization.

223946268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29331 (or 29322 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 223946268 is about 14964.8343793040. The cubic root of 223946268 is about 607.2692303732.

The spelling of 223946268 in words is "two hundred twenty-three million, nine hundred forty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 29297 58594 87891 117188 175782 205079 351564 380861 410158 615237 761722 820316 1142583 1230474 1435553 1523444 2285166 2460948 2666027 2871106 4306659 4570332 5332054 5742212 7998081 8613318 10664108 15996162 17226636 18662189 31992324 37324378 55986567 74648756 111973134 223946268