Search a number
-
+
2192861016 = 233273421991
BaseRepresentation
bin1000001010110100…
…0110011101011000
312122211020212210200
42002231012131120
513442333023031
61001332342200
7105225003543
oct20255063530
95584225720
102192861016
11a258a3a35
12512474960
1328c4020c8
1416b33d85a
15cc7ab8e6
hex82b46758

2192861016 has 96 divisors (see below), whose sum is σ = 6040744320. Its totient is φ = 718502400.

The previous prime is 2192860997. The next prime is 2192861017. The reversal of 2192861016 is 6101682912.

2192861016 is a `hidden beast` number, since 2 + 1 + 9 + 28 + 610 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192861017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212281 + ... + 2213271.

It is an arithmetic number, because the mean of its divisors is an integer number (62924420).

Almost surely, 22192861016 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 2192861016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020372160).

2192861016 is an abundant number, since it is smaller than the sum of its proper divisors (3847883304).

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

2192861016 is a wasteful number, since it uses less digits than its factorization.

2192861016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2192861016 is about 46827.9939352520. The cubic root of 2192861016 is about 1299.1831191513.

It can be divided in two parts, 21928 and 61016, that added together give a square (82944 = 2882).

The spelling of 2192861016 in words is "two billion, one hundred ninety-two million, eight hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 421 438 584 657 842 876 991 1263 1314 1684 1752 1982 2526 2628 2973 3368 3789 3964 5052 5256 5946 7578 7928 8919 10104 11892 15156 17838 23784 30312 30733 35676 61466 71352 72343 92199 122932 144686 184398 217029 245864 276597 289372 368796 417211 434058 553194 578744 651087 737592 834422 868116 1106388 1251633 1302174 1668844 1736232 2212776 2503266 2604348 3337688 3754899 5006532 5208696 7509798 10013064 15019596 30039192 30456403 60912806 91369209 121825612 182738418 243651224 274107627 365476836 548215254 730953672 1096430508 2192861016