Search a number
-
+
22185486064 = 2471773159617
BaseRepresentation
bin10100101010010110…
…111010011011110000
32010021010220110112001
4110222112322123300
5330413441023224
614105235543344
71413530343250
oct245226723360
963233813461
1022185486064
119455146055
124371a5ab54
1321273c6c61
141106665960
1589ca6c544
hex52a5ba6f0

22185486064 has 80 divisors (see below), whose sum is σ = 52727571648. Its totient is φ = 8826126336.

The previous prime is 22185486061. The next prime is 22185486067. The reversal of 22185486064 is 46068458122.

It is an interprime number because it is at equal distance from previous prime (22185486061) and next prime (22185486067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22185486061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59184 + ... + 218800.

Almost surely, 222185486064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22185486064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363785824).

22185486064 is an abundant number, since it is smaller than the sum of its proper divisors (30542085584).

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

22185486064 is a wasteful number, since it uses less digits than its factorization.

22185486064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159722 (or 159716 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 22185486064 in words is "twenty-two billion, one hundred eighty-five million, four hundred eighty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 73 112 119 136 146 238 272 292 476 511 584 952 1022 1168 1241 1904 2044 2482 4088 4964 8176 8687 9928 17374 19856 34748 69496 138992 159617 319234 638468 1117319 1276936 2234638 2553872 2713489 4469276 5426978 8938552 10853956 11652041 17877104 18994423 21707912 23304082 37988846 43415824 46608164 75977692 81564287 93216328 151955384 163128574 186432656 198084697 303910768 326257148 396169394 652514296 792338788 1305028592 1386592879 1584677576 2773185758 3169355152 5546371516 11092743032 22185486064