Search a number
-
+
202314403104 = 25311191585609
BaseRepresentation
bin1011110001101011100…
…0001100110100100000
3201100012122020112200220
42330122320030310200
511303314441344404
6232535243443040
720421353023632
oct2743270146440
9640178215626
10202314403104
117888a22a540
1233262826480
1316102968078
149b1361ca52
1553e173d4d9
hex2f1ae0cd20

202314403104 has 48 divisors (see below), whose sum is σ = 579354884640. Its totient is φ = 61307394560.

The previous prime is 202314403051. The next prime is 202314403121. The reversal of 202314403104 is 401304413202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2023144031042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 95791749 + ... + 95793860.

It is an arithmetic number, because the mean of its divisors is an integer number (12069893430).

Almost surely, 2202314403104 is an apocalyptic number.

202314403104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202314403104 is an abundant number, since it is smaller than the sum of its proper divisors (377040481536).

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

202314403104 is a wasteful number, since it uses less digits than its factorization.

202314403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191585633 (or 191585625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202314403104 its reverse (401304413202), we get a palindrome (603618816306).

The spelling of 202314403104 in words is "two hundred two billion, three hundred fourteen million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 191585609 383171218 574756827 766342436 1149513654 1532684872 2107441699 2299027308 3065369744 4214883398 4598054616 6130739488 6322325097 8429766796 9196109232 12644650194 16859533592 18392218464 25289300388 33719067184 50578600776 67438134368 101157201552 202314403104