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442287230 = 257211312647
BaseRepresentation
bin11010010111001…
…100010001111110
31010211020112000112
4122113030101332
51401211142410
6111515430022
713650244100
oct3227142176
91124215015
10442287230
11207728a40
12104155312
1370829228
1442a51570
1528c68105
hex1a5cc47e

442287230 has 96 divisors (see below), whose sum is σ = 1043269632. Its totient is φ = 133358400.

The previous prime is 442287227. The next prime is 442287239. The reversal of 442287230 is 32782244.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442287239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165767 + ... + 168413.

It is an arithmetic number, because the mean of its divisors is an integer number (10867392).

Almost surely, 2442287230 is an apocalyptic number.

442287230 is an abundant number, since it is smaller than the sum of its proper divisors (600982402).

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

442287230 is a wasteful number, since it uses less digits than its factorization.

442287230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 442287230 is about 21030.6260011441. The cubic root of 442287230 is about 761.9061282856.

The spelling of 442287230 in words is "four hundred forty-two million, two hundred eighty-seven thousand, two hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 31 35 49 55 62 70 77 98 110 154 155 217 245 310 341 385 434 490 539 682 770 1078 1085 1519 1705 2170 2387 2647 2695 3038 3410 4774 5294 5390 7595 11935 13235 15190 16709 18529 23870 26470 29117 33418 37058 58234 82057 83545 92645 129703 145585 164114 167090 185290 203819 259406 291170 407638 410285 574399 648515 820570 902627 1019095 1148798 1297030 1426733 1805254 2038190 2853466 2871995 4020793 4513135 5743990 6318389 7133665 8041586 9026270 12636778 14267330 20103965 31591945 40207930 44228723 63183890 88457446 221143615 442287230