Search a number
-
+
21221612112 = 2432922696719
BaseRepresentation
bin10011110000111010…
…000001101001010000
32000202222012121000210
4103300322001221100
5321430213041422
613425444444120
71350614504151
oct236072015120
960688177023
1021221612112
119000057308
1241430a9640
1320027c823c
14105463d928
1584312510c
hex4f0e81a50

21221612112 has 80 divisors (see below), whose sum is σ = 56746368000. Its totient is φ = 6825917952.

The previous prime is 21221612099. The next prime is 21221612117. The reversal of 21221612112 is 21121612212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221612117) 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, 3155089 + ... + 3161807.

It is an arithmetic number, because the mean of its divisors is an integer number (709329600).

Almost surely, 221221612112 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 21221612112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28373184000).

21221612112 is an abundant number, since it is smaller than the sum of its proper divisors (35524755888).

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

21221612112 is a wasteful number, since it uses less digits than its factorization.

21221612112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9022 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The spelling of 21221612112 in words is "twenty-one billion, two hundred twenty-one million, six hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2269 4538 6719 6807 9076 13438 13614 18152 20157 26876 27228 36304 40314 53752 54456 65801 80628 107504 108912 131602 161256 194851 197403 263204 322512 389702 394806 526408 584553 779404 789612 1052816 1169106 1558808 1579224 2338212 3117616 3158448 4676424 9352848 15245411 30490822 45736233 60981644 91472466 121963288 182944932 243926576 365889864 442116919 731779728 884233838 1326350757 1768467676 2652701514 3536935352 5305403028 7073870704 10610806056 21221612112