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230999010 = 235114373223
BaseRepresentation
bin11011100010011…
…00001111100010
3121002122222001220
431301030033202
5433113432020
634531035510
75503313334
oct1561141742
9532588056
10230999010
11109435a80
126543bb96
1338b1bc08
1422971454
151542e240
hexdc4c3e2

230999010 has 128 divisors (see below), whose sum is σ = 630153216. Its totient is φ = 53706240.

The previous prime is 230999003. The next prime is 230999047. The reversal of 230999010 is 10999032.

230999010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1035759 + ... + 1035981.

It is an arithmetic number, because the mean of its divisors is an integer number (4923072).

Almost surely, 2230999010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230999010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315076608).

230999010 is an abundant number, since it is smaller than the sum of its proper divisors (399154206).

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

230999010 is a wasteful number, since it uses less digits than its factorization.

230999010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 230999010 is about 15198.6515849269. The cubic root of 230999010 is about 613.5783674232.

The spelling of 230999010 in words is "two hundred thirty million, nine hundred ninety-nine thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 73 86 110 129 146 165 215 219 223 258 330 365 430 438 446 473 645 669 730 803 946 1095 1115 1290 1338 1419 1606 2190 2230 2365 2409 2453 2838 3139 3345 4015 4730 4818 4906 6278 6690 7095 7359 8030 9417 9589 12045 12265 14190 14718 15695 16279 18834 19178 24090 24530 28767 31390 32558 34529 36795 47085 47945 48837 57534 69058 73590 81395 94170 95890 97674 103587 105479 143835 162790 172645 179069 207174 210958 244185 287670 316437 345290 358138 488370 517935 527395 537207 632874 699997 895345 1035870 1054790 1074414 1399994 1582185 1790690 2099991 2686035 3164370 3499985 4199982 5372070 6999970 7699967 10499955 15399934 20999910 23099901 38499835 46199802 76999670 115499505 230999010