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232267469312 = 29194592
BaseRepresentation
bin1101100001010000111…
…0000101001000000000
3211012112010012222000102
43120110032011020000
512301140433004222
6254411401541532
722531542625364
oct3302416051000
9735463188012
10232267469312
118a55aa2750a
1239021aa48a8
1318b973a9598
14b35572b2a4
156096195d92
hex3614385200

232267469312 has 150 divisors (see below), whose sum is σ = 498306881523. Its totient is φ = 108156662784.

The previous prime is 232267469267. The next prime is 232267469393. The reversal of 232267469312 is 213964762232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

232267469312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 116133734656 + 116133734656 = 340784^2 + 340784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340784.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3936736739 + ... + 3936736797.

Almost surely, 2232267469312 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 232267469312

232267469312 is an abundant number, since it is smaller than the sum of its proper divisors (266039412211).

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

232267469312 is an frugal number, since it uses more digits than its factorization.

232267469312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 80 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 47.

The spelling of 232267469312 in words is "two hundred thirty-two billion, two hundred sixty-seven million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 361 472 512 608 722 944 1121 1216 1444 1888 2242 2432 2888 3481 3776 4484 4864 5776 6859 6962 7552 8968 9728 11552 13718 13924 15104 17936 21299 23104 27436 27848 30208 35872 42598 46208 54872 55696 66139 71744 85196 92416 109744 111392 130321 132278 143488 170392 184832 219488 222784 260642 264556 286976 340784 404681 438976 445568 521284 529112 573952 681568 809362 877952 891136 1042568 1058224 1256641 1363136 1618724 1755904 1782272 2085136 2116448 2513282 2726272 3237448 3511808 4170272 4232896 5026564 5452544 6474896 7688939 8340544 8465792 10053128 10905088 12949792 15377878 16681088 16931584 20106256 23876179 25899584 30755756 33362176 33863168 40212512 47752358 51799168 61511512 66724352 80425024 95504716 103598336 123023024 160850048 191009432 207196672 246046048 321700096 382018864 453647401 492092096 643400192 764037728 907294802 984184192 1528075456 1814589604 1968368384 3056150912 3629179208 3936736768 6112301824 7258358416 12224603648 14516716832 29033433664 58066867328 116133734656 232267469312