Search a number
-
+
11222000220 = 22351711001961
BaseRepresentation
bin10100111001110001…
…00010001001011100
31001222002011200021210
422130320202021130
5140440313001340
65053314224420
7545043266544
oct123470421134
931862150253
1011222000220
114839587952
122212285110
13109ac15622
1478657c324
1545a2e2180
hex29ce2225c

11222000220 has 48 divisors (see below), whose sum is σ = 33269933088. Its totient is φ = 2816501760.

The previous prime is 11222000197. The next prime is 11222000221. The reversal of 11222000220 is 2200022211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11222000196 and 11222000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222000221) 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, 5499961 + ... + 5502000.

It is an arithmetic number, because the mean of its divisors is an integer number (693123606).

Almost surely, 211222000220 is an apocalyptic number.

11222000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222000220 is an abundant number, since it is smaller than the sum of its proper divisors (22047932868).

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

11222000220 is a wasteful number, since it uses less digits than its factorization.

11222000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001990 (or 11001988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11222000220 its reverse (2200022211), we get a palindrome (13422022431).

The spelling of 11222000220 in words is "eleven billion, two hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 11001961 22003922 33005883 44007844 55009805 66011766 110019610 132023532 165029415 187033337 220039220 330058830 374066674 561100011 660117660 748133348 935166685 1122200022 1870333370 2244400044 2805500055 3740666740 5611000110 11222000220