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230242241988 = 223311215390017
BaseRepresentation
bin1101011001101110000…
…0011100110111000100
3211000021222101202102000
43112123200130313010
512233014003220423
6253434414145300
722430421523503
oct3263340346704
9730258352360
10230242241988
118971081a220
12387577b2230
131893393b715
14b20278683a
155ec849d843
hex359b81cdc4

230242241988 has 96 divisors (see below), whose sum is σ = 651499873920. Its totient is φ = 69737195520.

The previous prime is 230242241951. The next prime is 230242241993. The reversal of 230242241988 is 889142242032.

230242241988 is a `hidden beast` number, since 2 + 30 + 2 + 422 + 4 + 198 + 8 = 666.

230242241988 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 2×2302422419882 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512756 + ... + 2602772.

It is an arithmetic number, because the mean of its divisors is an integer number (6786457020).

Almost surely, 2230242241988 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 230242241988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325749936960).

230242241988 is an abundant number, since it is smaller than the sum of its proper divisors (421257631932).

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

230242241988 is a wasteful number, since it uses less digits than its factorization.

230242241988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92194 (or 92186 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 230242241988 in words is "two hundred thirty billion, two hundred forty-two million, two hundred forty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2153 4306 6459 8612 12918 19377 23683 25836 38754 47366 58131 71049 77508 90017 94732 116262 142098 180034 213147 232524 270051 284196 360068 426294 540102 639441 810153 852588 990187 1080204 1278882 1620306 1980374 2430459 2557764 2970561 3240612 3960748 4860918 5941122 8911683 9721836 11882244 17823366 26735049 35646732 53470098 106940196 193806601 387613202 581419803 775226404 1162839606 1744259409 2131872611 2325679212 3488518818 4263745222 5232778227 6395617833 6977037636 8527490444 10465556454 12791235666 19186853499 20931112908 25582471332 38373706998 57560560497 76747413996 115121120994 230242241988