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231022224 = 24327321977
BaseRepresentation
bin11011100010100…
…01111010010000
3121002201010220200
431301101322100
5433120202344
634531335200
75503441116
oct1561217220
9532633820
10231022224
11109451464
1265451500
1338b29654
1422979ab6
1515436069
hexdc51e90

231022224 has 60 divisors (see below), whose sum is σ = 655427916. Its totient is φ = 75949056.

The previous prime is 231022223. The next prime is 231022243. The reversal of 231022224 is 422220132.

It can be written as a sum of positive squares in 2 ways, for example, as 119508624 + 111513600 = 10932^2 + 10560^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231022197 and 231022206.

It is not an unprimeable number, because it can be changed into a prime (231022223) 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 11 ways as a sum of consecutive naturals, for example, 477 + ... + 21500.

Almost surely, 2231022224 is an apocalyptic number.

231022224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327713958).

231022224 is an abundant number, since it is smaller than the sum of its proper divisors (424405692).

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

231022224 is a wasteful number, since it uses less digits than its factorization.

231022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22064 (or 22055 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 231022224 is about 15199.4152519102. The cubic root of 231022224 is about 613.5989203700.

Adding to 231022224 its reverse (422220132), we get a palindrome (653242356).

The spelling of 231022224 in words is "two hundred thirty-one million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 21977 43954 65931 87908 131862 175816 197793 263724 351632 395586 527448 791172 1054896 1582344 1604321 3164688 3208642 4812963 6417284 9625926 12834568 14438889 19251852 25669136 28877778 38503704 57755556 77007408 115511112 231022224