Search a number
-
+
223506103072416 = 2534057573869503
BaseRepresentation
bin110010110100011100010001…
…111000001111011010100000
31002022100222022121120202100220
4302310130101320033122200
5213243410444341304131
62111205141500243040
765035532406621213
oct6264342170173240
91068328277522326
10223506103072416
116524145143515a
1221098b91840480
1397936c5767418
143d29a7875b77a
151ac8d8ee94e96
hexcb4711e0f6a0

223506103072416 has 48 divisors (see below), whose sum is σ = 586848136702464. Its totient is φ = 74483670403584.

The previous prime is 223506103072381. The next prime is 223506103072451. The reversal of 223506103072416 is 614270301605322.

It is an interprime number because it is at equal distance from previous prime (223506103072381) and next prime (223506103072451).

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

It is a super-2 number, since 2×2235061030724162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286545280 + ... + 287324223.

It is an arithmetic number, because the mean of its divisors is an integer number (12226002847968).

Almost surely, 2223506103072416 is an apocalyptic number.

It is an amenable number.

223506103072416 is an abundant number, since it is smaller than the sum of its proper divisors (363342033630048).

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

223506103072416 is a wasteful number, since it uses less digits than its factorization.

223506103072416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573873573 (or 573873565 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 223506103072416 its reverse (614270301605322), we get a palindrome (837776404677738).

The spelling of 223506103072416 in words is "two hundred twenty-three trillion, five hundred six billion, one hundred three million, seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4057 8114 12171 16228 24342 32456 48684 64912 97368 129824 194736 389472 573869503 1147739006 1721608509 2295478012 3443217018 4590956024 6886434036 9181912048 13772868072 18363824096 27545736144 55091472288 2328188573671 4656377147342 6984565721013 9312754294684 13969131442026 18625508589368 27938262884052 37251017178736 55876525768104 74502034357472 111753051536208 223506103072416