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223524252042 = 237131971303473
BaseRepresentation
bin1101000000101100010…
…1010110100110001010
3210100221210022111200120
43100023011112212022
512130234202031132
6250404032244110
722102065536130
oct3201305264612
9710853274616
10223524252042
1186883681a13
12373a19a0636
1318102ba5040
14ab66479750
155c337dd02c
hex340b15698a

223524252042 has 128 divisors (see below), whose sum is σ = 587331440640. Its totient is φ = 55061959680.

The previous prime is 223524252013. The next prime is 223524252047. The reversal of 223524252042 is 240252425322.

223524252042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 223524251994 and 223524252012.

It is not an unprimeable number, because it can be changed into a prime (223524252047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584818 + ... + 888290.

It is an arithmetic number, because the mean of its divisors is an integer number (4588526880).

Almost surely, 2223524252042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223524252042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293665720320).

223524252042 is an abundant number, since it is smaller than the sum of its proper divisors (363807188598).

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

223524252042 is a wasteful number, since it uses less digits than its factorization.

223524252042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303588.

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 223524252042 its reverse (240252425322), we get a palindrome (463776677364).

The spelling of 223524252042 in words is "two hundred twenty-three billion, five hundred twenty-four million, two hundred fifty-two thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 71 78 91 114 133 142 182 213 247 266 273 399 426 494 497 546 741 798 923 994 1349 1482 1491 1729 1846 2698 2769 2982 3458 4047 5187 5538 6461 8094 9443 10374 12922 17537 18886 19383 28329 35074 38766 52611 56658 105222 122759 245518 303473 368277 606946 736554 910419 1820838 2124311 3945149 4248622 5765987 6372933 7890298 11531974 11835447 12745866 17297961 21546583 23670894 27616043 34595922 40361909 43093166 55232086 64639749 74957831 80723818 82848129 121085727 129279498 149915662 150826081 165696258 224873493 242171454 280105579 301652162 409385077 449746986 452478243 524704817 560211158 818770154 840316737 904956486 1049409634 1228155231 1574114451 1680633474 1960739053 2456310462 2865695539 3148228902 3921478106 5322006001 5731391078 5882217159 8597086617 10644012002 11764434318 15966018003 17194173234 31932036006 37254042007 74508084014 111762126021 223524252042