Search a number
-
+
23405222316264 = 2332177934477727
BaseRepresentation
bin1010101001001011100111…
…11101100100100011101000
310001212111222012000022020120
411110211303331210203220
511031432343403110024
6121440113302123240
74633654141105605
oct524456375444350
9101774865008216
1023405222316264
11750410a908668
122760109720520
13100a14537c629
145acb66b296ac
152a8c546e1479
hex154973f648e8

23405222316264 has 32 divisors (see below), whose sum is σ = 58513337521920. Its totient is φ = 7801703207936.

The previous prime is 23405222316263. The next prime is 23405222316353. The reversal of 23405222316264 is 46261322250432.

It is a super-2 number, since 2×234052223162642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23405222316263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2988169 + ... + 7465895.

It is an arithmetic number, because the mean of its divisors is an integer number (1828541797560).

Almost surely, 223405222316264 is an apocalyptic number.

23405222316264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23405222316264 is an abundant number, since it is smaller than the sum of its proper divisors (35108115205656).

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

23405222316264 is a wasteful number, since it uses less digits than its factorization.

23405222316264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695529 (or 4695525 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 23405222316264 its reverse (46261322250432), we get a palindrome (69666544566696).

The spelling of 23405222316264 in words is "twenty-three trillion, four hundred five billion, two hundred twenty-two million, three hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 217793 435586 653379 871172 1306758 1742344 2613516 4477727 5227032 8955454 13433181 17910908 26866362 35821816 53732724 107465448 975217596511 1950435193022 2925652789533 3900870386044 5851305579066 7801740772088 11702611158132 23405222316264