Search a number
-
+
230896754144 = 25721033314251
BaseRepresentation
bin1101011100001010000…
…1001101110111100000
3211001222120222102021222
43113002201031313200
512240334032113034
6254023354434212
722452560012300
oct3270241156740
9731876872258
10230896754144
1189a1721a961
12388baa32968
1318a09412414
14b26567d600
156015b8812e
hex35c284dde0

230896754144 has 72 divisors (see below), whose sum is σ = 528883083288. Its totient is φ = 98939232000.

The previous prime is 230896754129. The next prime is 230896754149. The reversal of 230896754144 is 441457698032.

It is a super-2 number, since 2×2308967541442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230896754149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16195019 + ... + 16209269.

It is an arithmetic number, because the mean of its divisors is an integer number (7345598379).

It is a 2-persistent number, because it is pandigital, and so is 2⋅230896754144 = 461793508288, but 3⋅230896754144 = 692690262432 is not.

Almost surely, 2230896754144 is an apocalyptic number.

It is an amenable number.

230896754144 is an abundant number, since it is smaller than the sum of its proper divisors (297986329144).

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

230896754144 is a wasteful number, since it uses less digits than its factorization.

230896754144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24608 (or 24593 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 230896754144 in words is "two hundred thirty billion, eight hundred ninety-six million, seven hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 10333 14251 20666 28502 41332 57004 72331 82664 99757 114008 144662 165328 199514 228016 289324 330656 399028 456032 506317 578648 698299 798056 1012634 1157296 1396598 1596112 2025268 2314592 2793196 3192224 4050536 5586392 8101072 11172784 16202144 22345568 147255583 294511166 589022332 1030789081 1178044664 2061578162 2356089328 4123156324 4712178656 7215523567 8246312648 14431047134 16492625296 28862094268 32985250592 57724188536 115448377072 230896754144