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823143228 = 2232326911087
BaseRepresentation
bin110001000100000…
…010101100111100
32010100220000020020
4301010002230330
53141211040403
6213402452140
726253413325
oct6104025474
92110800206
10823143228
11392708766
121ab804050
131016c6bcb
147b47144c
154c3e9453
hex31102b3c

823143228 has 48 divisors (see below), whose sum is σ = 2011806720. Its totient is φ = 261452224.

The previous prime is 823143227. The next prime is 823143239. The reversal of 823143228 is 822341328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823143227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68701 + ... + 79787.

It is an arithmetic number, because the mean of its divisors is an integer number (41912640).

Almost surely, 2823143228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823143228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005903360).

823143228 is an abundant number, since it is smaller than the sum of its proper divisors (1188663492).

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

823143228 is a wasteful number, since it uses less digits than its factorization.

823143228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11386 (or 11384 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 823143228 is about 28690.4727740761. The cubic root of 823143228 is about 937.1845848083.

The spelling of 823143228 in words is "eight hundred twenty-three million, one hundred forty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 269 276 538 807 1076 1614 3228 6187 11087 12374 18561 22174 24748 33261 37122 44348 66522 74244 133044 255001 510002 765003 1020004 1530006 2982403 3060012 5964806 8947209 11929612 17894418 35788836 68595269 137190538 205785807 274381076 411571614 823143228