Search a number
-
+
230917788276 = 2237219151136883
BaseRepresentation
bin1101011100001111000…
…1011101001001110100
3211002001001120001200220
43113003301131021310
512240404423211101
6254025425334340
722453233546300
oct3270361351164
9732031501626
10230917788276
1189a2808713a
1238905a973b0
1318a10898456
14b268396d00
156017940636
hex35c3c5d274

230917788276 has 144 divisors (see below), whose sum is σ = 664139266560. Its totient is φ = 62089675200.

The previous prime is 230917788259. The next prime is 230917788281. The reversal of 230917788276 is 672887719032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618531 + ... + 1755413.

It is an arithmetic number, because the mean of its divisors is an integer number (4612078240).

Almost surely, 2230917788276 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 230917788276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332069633280).

230917788276 is an abundant number, since it is smaller than the sum of its proper divisors (433221478284).

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

230917788276 is a wasteful number, since it uses less digits than its factorization.

230917788276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137074 (or 137065 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 230917788276 in words is "two hundred thirty billion, nine hundred seventeen million, seven hundred eighty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 151 196 228 266 294 302 399 453 532 588 604 798 906 931 1057 1596 1812 1862 2114 2793 2869 3171 3724 4228 5586 5738 6342 7399 8607 11172 11476 12684 14798 17214 20083 22197 29596 34428 40166 44394 60249 80332 88788 120498 136883 140581 240996 273766 281162 410649 421743 547532 562324 821298 843486 958181 1642596 1686972 1916362 2600777 2874543 3832724 5201554 5749086 6707267 7802331 10403108 11498172 13414534 15604662 18205439 20121801 20669333 26829068 31209324 36410878 40243602 41338666 54616317 62007999 72821756 80487204 82677332 109232634 124015998 127438073 144685331 218465268 248031996 254876146 289370662 382314219 392717327 434055993 509752292 578741324 764628438 785434654 868111986 1012797317 1178151981 1529256876 1570869308 1736223972 2025594634 2356303962 2749021289 3038391951 4051189268 4712607924 5498042578 6076783902 8247063867 10996085156 12153567804 16494127734 19243149023 32988255468 38486298046 57729447069 76972596092 115458894138 230917788276