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160002223216 = 241153112915193
BaseRepresentation
bin1001010100000011100…
…0000010110001110000
3120021222211102002200021
42111000320002301300
510110141032120331
6201300510533224
714363001312613
oct2250070026160
9507884362607
10160002223216
11619470a1530
1227014507214
131211b867834
147a5bd3217a
154266c7b211
hex2540e02c70

160002223216 has 80 divisors (see below), whose sum is σ = 344895291360. Its totient is φ = 71288156160.

The previous prime is 160002223099. The next prime is 160002223253. The reversal of 160002223216 is 612322200061.

It is a super-2 number, since 2×1600022232162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10523716 + ... + 10538908.

It is an arithmetic number, because the mean of its divisors is an integer number (4311191142).

Almost surely, 2160002223216 is an apocalyptic number.

160002223216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160002223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172447645680).

160002223216 is an abundant number, since it is smaller than the sum of its proper divisors (184893068144).

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

160002223216 is a wasteful number, since it uses less digits than its factorization.

160002223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 160002223216 its reverse (612322200061), we get a palindrome (772324423277).

The spelling of 160002223216 in words is "one hundred sixty billion, two million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1129 1166 2258 2332 4516 4664 9032 9328 12419 15193 18064 24838 30386 49676 59837 60772 99352 119674 121544 167123 198704 239348 243088 334246 478696 658207 668492 805229 957392 1316414 1336984 1610458 2632828 2673968 3220916 5265656 6441832 8857519 10531312 12883664 17152897 17715038 34305794 35430076 68611588 70860152 137223176 141720304 188681867 274446352 377363734 754727468 909103541 1509454936 1818207082 3018909872 3636414164 7272828328 10000138951 14545656656 20000277902 40000555804 80001111608 160002223216