Search a number
-
+
232327856016 = 243644632
BaseRepresentation
bin1101100001011111010…
…0011011111110010000
3211012200022211221000000
43120113310123332100
512301301412343031
6254421400130000
722533205123044
oct3302764337620
9735608757000
10232327856016
118a591021983
123903a166900
1318ba6a60569
14b35d76a024
15609b6233e6
hex3617d1bf90

232327856016 has 105 divisors (see below), whose sum is σ = 675045350539. Its totient is φ = 77425266528.

The previous prime is 232327856011. The next prime is 232327856029. The reversal of 232327856016 is 610658723232.

The square root of 232327856016 is 482004.

It is a perfect power (a square), and thus also a powerful number.

232327856016 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 2 + 78 + 560 + 16 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232327856011) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 52054201 + ... + 52058663.

Almost surely, 2232327856016 is an apocalyptic number.

232327856016 is the 482004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232327856016

232327856016 is an abundant number, since it is smaller than the sum of its proper divisors (442717494523).

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

232327856016 is an frugal number, since it uses more digits than its factorization.

232327856016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 232327856016 in words is "two hundred thirty-two billion, three hundred twenty-seven million, eight hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 4463 5832 8926 11664 13389 17852 26778 35704 40167 53556 71408 80334 107112 120501 160668 214224 241002 321336 361503 482004 642672 723006 964008 1084509 1446012 1928016 2169018 2892024 3253527 4338036 5784048 6507054 8676072 13014108 17352144 19918369 26028216 39836738 52056432 59755107 79673476 119510214 159346952 179265321 239020428 318693904 358530642 478040856 537795963 717061284 956081712 1075591926 1434122568 1613387889 2151183852 2868245136 3226775778 4302367704 4840163667 6453551556 8604735408 9680327334 12907103112 14520491001 19360654668 25814206224 29040982002 38721309336 58081964004 77442618672 116163928008 232327856016