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230950728 = 233223891567
BaseRepresentation
bin11011100010000…
…00011101001000
3121002120111211200
431301000131020
5433110410403
634530024200
75503022511
oct1561003510
9532514750
10230950728
11109402778
1265418060
1338b02c48
142295ba08
151541eca3
hexdc40748

230950728 has 96 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 72762624.

The previous prime is 230950723. The next prime is 230950739. The reversal of 230950728 is 827059032.

It is a happy number.

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 = 230950692 and 230950701.

It is not an unprimeable number, because it can be changed into a prime (230950723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146601 + ... + 148167.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2230950728 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 230950728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

230950728 is an abundant number, since it is smaller than the sum of its proper divisors (429490872).

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

230950728 is a wasteful number, since it uses less digits than its factorization.

230950728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 230950728 is about 15197.0631373302. The cubic root of 230950728 is about 613.5356156455.

The spelling of 230950728 in words is "two hundred thirty million, nine hundred fifty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 89 92 138 178 184 207 267 276 356 414 534 552 712 801 828 1068 1567 1602 1656 2047 2136 3134 3204 4094 4701 6141 6268 6408 8188 9402 12282 12536 14103 16376 18423 18804 24564 28206 36041 36846 37608 49128 56412 72082 73692 108123 112824 139463 144164 147384 216246 278926 288328 324369 418389 432492 557852 648738 836778 864984 1115704 1255167 1297476 1673556 2510334 2594952 3207649 3347112 5020668 6415298 9622947 10041336 12830596 19245894 25661192 28868841 38491788 57737682 76983576 115475364 230950728