Search a number
-
+
224345016036145 = 51721947173858977
BaseRepresentation
bin110011000000101001100100…
…111111001110101100110001
31002102100011200220022212102101
4303000221210333032230301
5213401132043101124040
62113050402204420401
765153251431303124
oct6300514477165461
91072304626285371
10224345016036145
1165535206987504
12211b3697b47701
13982484b504204
143d584dcb683bb
151ae0ade5e909a
hexcc0a64fceb31

224345016036145 has 48 divisors (see below), whose sum is σ = 307438307976960. Its totient is φ = 156623292555264.

The previous prime is 224345016036133. The next prime is 224345016036223. The reversal of 224345016036145 is 541630610543422.

224345016036145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224345016036145 - 27 = 224345016036017 is a prime.

It is a super-2 number, since 2×2243450160361452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224345016036095 and 224345016036104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85639104 + ... + 88219873.

It is an arithmetic number, because the mean of its divisors is an integer number (6404964749520).

Almost surely, 2224345016036145 is an apocalyptic number.

It is an amenable number.

224345016036145 is a deficient number, since it is larger than the sum of its proper divisors (83093291940815).

224345016036145 is a wasteful number, since it uses less digits than its factorization.

224345016036145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173859082 (or 173859065 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

Adding to 224345016036145 its reverse (541630610543422), we get a palindrome (765975626579567).

The spelling of 224345016036145 in words is "two hundred twenty-four trillion, three hundred forty-five billion, sixteen million, thirty-six thousand, one hundred forty-five".

Divisors: 1 5 17 19 47 85 95 235 289 323 799 893 1445 1615 3995 4465 5491 13583 15181 27455 67915 75905 258077 1290385 173858977 869294885 2955602609 3303320563 8171371919 14778013045 16516602815 40856859595 50245244353 56156449571 138913322623 155256066461 251226221765 280782247855 694566613115 776280332305 954659642707 2361526484591 2639353129837 4773298213535 11807632422955 13196765649185 44869003207229 224345016036145