Search a number
-
+
223454314304 = 26133711364237
BaseRepresentation
bin1101000000011011101…
…0100011111101000000
3210100202220201022010222
43100012322203331000
512130113301024204
6250353053242212
722100256222044
oct3200672437500
9710686638128
10223454314304
1186848153731
1237382493368
13180c1558970
14ab5b072024
155c2c5c5abe
hex3406ea3f40

223454314304 has 112 divisors (see below), whose sum is σ = 494780090448. Its totient is φ = 99455827968.

The previous prime is 223454314229. The next prime is 223454314309. The reversal of 223454314304 is 403413454322.

It can be written as a sum of positive squares in 8 ways, for example, as 4617474304 + 218836840000 = 67952^2 + 467800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223454314309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3446474 + ... + 3510710.

It is an arithmetic number, because the mean of its divisors is an integer number (4417679379).

Almost surely, 2223454314304 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 223454314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247390045224).

223454314304 is an abundant number, since it is smaller than the sum of its proper divisors (271325776144).

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

223454314304 is a wasteful number, since it uses less digits than its factorization.

223454314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64412 (or 64402 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 223454314304 its reverse (403413454322), we get a palindrome (626867768626).

The spelling of 223454314304 in words is "two hundred twenty-three billion, four hundred fifty-four million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 113 148 208 226 296 416 452 481 592 832 904 962 1184 1469 1808 1924 2368 2938 3616 3848 4181 5876 7232 7696 8362 11752 15392 16724 23504 30784 33448 47008 54353 64237 66896 94016 108706 128474 133792 217412 256948 267584 434824 513896 835081 869648 1027792 1670162 1739296 2055584 2376769 3340324 3478592 4111168 4753538 6680648 7258781 9507076 13361296 14517562 19014152 26722592 29035124 30897997 38028304 53445184 58070248 61795994 76056608 94364153 116140496 123591988 152113216 188728306 232280992 247183976 268574897 377456612 464561984 494367952 537149794 754913224 988735904 1074299588 1509826448 1977471808 2148599176 3019652896 3491473661 4297198352 6039305792 6982947322 8594396704 13965894644 17188793408 27931789288 55863578576 111727157152 223454314304