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230133312 = 2634103431
BaseRepresentation
bin11011011011110…
…00111001000000
3121001000222120000
431231320321000
5432403231222
634500320000
75463046413
oct1555707100
9531028500
10230133312
111089a4622
12650a3000
13388a7b76
14227c7b7a
151530c9ac
hexdb78e40

230133312 has 140 divisors (see below), whose sum is σ = 690408576. Its totient is φ = 75790080.

The previous prime is 230133307. The next prime is 230133313. The reversal of 230133312 is 213331032.

230133312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301333122 = 105922682584178688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230133313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 533737 + ... + 534167.

Almost surely, 2230133312 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 230133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345204288).

230133312 is an abundant number, since it is smaller than the sum of its proper divisors (460275264).

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

230133312 is a wasteful number, since it uses less digits than its factorization.

230133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 230133312 is about 15170.1454178923. The cubic root of 230133312 is about 612.8109204152.

Adding to 230133312 its reverse (213331032), we get a palindrome (443464344).

The spelling of 230133312 in words is "two hundred thirty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 103 108 144 162 192 206 216 288 309 324 412 431 432 576 618 648 824 862 864 927 1236 1293 1296 1648 1724 1728 1854 2472 2586 2592 2781 3296 3448 3708 3879 4944 5172 5184 5562 6592 6896 7416 7758 8343 9888 10344 11124 11637 13792 14832 15516 16686 19776 20688 22248 23274 27584 29664 31032 33372 34911 41376 44393 44496 46548 59328 62064 66744 69822 82752 88786 88992 93096 124128 133179 133488 139644 177572 177984 186192 248256 266358 266976 279288 355144 372384 399537 532716 533952 558576 710288 744768 799074 1065432 1117152 1198611 1420576 1598148 2130864 2234304 2397222 2841152 3196296 3595833 4261728 4794444 6392592 7191666 8523456 9588888 12785184 14383332 19177776 25570368 28766664 38355552 57533328 76711104 115066656 230133312