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230273447772330 = 23357912653853217
BaseRepresentation
bin110100010110111010110111…
…000011100100000010101010
31010012022221000111112220221000
4310112322313003210002222
5220140300010112203310
62133430054515255430
766334464462514044
oct6426726703440252
91105287014486830
10230273447772330
116741046a061a96
12219b06538aa576
139b64901545bc1
1440c141994ca94
151b94e1a4404c0
hexd16eb70e40aa

230273447772330 has 128 divisors (see below), whose sum is σ = 621885344947200. Its totient is φ = 60624095680512.

The previous prime is 230273447772301. The next prime is 230273447772331. The reversal of 230273447772330 is 33277744372032.

230273447772330 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 73 + 4 + 477 + 72 + 3 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230273447772331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269461882 + ... + 270315098.

It is an arithmetic number, because the mean of its divisors is an integer number (4858479257400).

Almost surely, 2230273447772330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230273447772330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310942672473600).

230273447772330 is an abundant number, since it is smaller than the sum of its proper divisors (391611897174870).

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

230273447772330 is a wasteful number, since it uses less digits than its factorization.

230273447772330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865965 (or 865959 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 54.

The spelling of 230273447772330 in words is "two hundred thirty trillion, two hundred seventy-three billion, four hundred forty-seven million, seven hundred seventy-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 2133 2370 3555 4266 7110 10665 12653 21330 25306 37959 63265 75918 113877 126530 189795 227754 341631 379590 569385 683262 853217 999587 1138770 1706434 1708155 1999174 2559651 2998761 3416310 4266085 4997935 5119302 5997522 7678953 8532170 8996283 9995870 12798255 14993805 15357906 17992566 23036859 25596510 26988849 29987610 38394765 44981415 46073718 53977698 67404143 76789530 89962830 115184295 134808286 134944245 202212429 230368590 269888490 337020715 404424858 606637287 674041430 1011062145 1213274574 1819911861 2022124290 3033186435 3639823722 6066372870 9099559305 10795754701 18199118610 21591509402 32387264103 53978773505 64774528206 97161792309 107957547010 161936320515 194323584618 291485376927 323872641030 485808961545 582970753854 852864621379 971617923090 1457426884635 1705729242758 2558593864137 2914853769270 4264323106895 5117187728274 7675781592411 8528646213790 12792969320685 15351563184822 23027344777233 25585938641370 38378907962055 46054689554466 76757815924110 115136723886165 230273447772330