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230822928 = 24327232713
BaseRepresentation
bin11011100001000…
…01010000010000
3121002100000112100
431300201100100
5433042313203
634523200400
75501651100
oct1560412020
9532300470
10230822928
11109325756
1265376100
1338a89a1b
1422927200
15153e6ea3
hexdc21410

230822928 has 90 divisors (see below), whose sum is σ = 751473294. Its totient is φ = 65947392.

The previous prime is 230822899. The next prime is 230822939. The reversal of 230822928 is 829228032.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 31674384 = 14112^2 + 5628^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230822892 and 230822901.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9301 + ... + 23412.

Almost surely, 2230822928 is an apocalyptic number.

230822928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230822928 is an abundant number, since it is smaller than the sum of its proper divisors (520650366).

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

230822928 is a wasteful number, since it uses less digits than its factorization.

230822928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32741 (or 32725 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 230822928 is about 15192.8577956881. The cubic root of 230822928 is about 613.4224250963.

The spelling of 230822928 in words is "two hundred thirty million, eight hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 32713 65426 98139 130852 196278 228991 261704 294417 392556 457982 523408 588834 686973 785112 915964 1177668 1373946 1570224 1602937 1831928 2060919 2355336 2747892 3205874 3663856 4121838 4710672 4808811 5495784 6411748 8243676 9617622 10991568 12823496 14426433 16487352 19235244 25646992 28852866 32974704 38470488 57705732 76940976 115411464 230822928