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229521831 = 37211433301
BaseRepresentation
bin11011010111000…
…11100110100111
3120222212220202120
431223203212213
5432224144311
634435241023
75454621600
oct1553434647
9528786676
10229521831
11108617170
1264a49173
1338722746
14226a8da7
151523b706
hexdae39a7

229521831 has 48 divisors (see below), whose sum is σ = 397507968. Its totient is φ = 116424000.

The previous prime is 229521823. The next prime is 229521857. The reversal of 229521831 is 138125922.

It is a happy number.

It is not a de Polignac number, because 229521831 - 23 = 229521823 is a prime.

It is a super-2 number, since 2×2295218312 = 105360541811185122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 229521792 and 229521801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229521031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67881 + ... + 71181.

It is an arithmetic number, because the mean of its divisors is an integer number (8281416).

Almost surely, 2229521831 is an apocalyptic number.

229521831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

229521831 is a deficient number, since it is larger than the sum of its proper divisors (167986137).

229521831 is a wasteful number, since it uses less digits than its factorization.

229521831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3365 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 229521831 is about 15149.9779207760. The cubic root of 229521831 is about 612.2676778774.

The spelling of 229521831 in words is "two hundred twenty-nine million, five hundred twenty-one thousand, eight hundred thirty-one".

Divisors: 1 3 7 11 21 33 43 49 77 129 147 231 301 473 539 903 1419 1617 2107 3301 3311 6321 9903 9933 23107 23177 36311 69321 69531 108933 141943 161749 254177 425829 485247 762531 993601 1561373 1779239 2980803 4684119 5337717 6955207 10929611 20865621 32788833 76507277 229521831