Search a number
-
+
22111202220 = 22353730732443
BaseRepresentation
bin10100100101111011…
…100010101110101100
32010001222010110020120
4110211323202232230
5330240431432340
614054023444540
71411636055262
oct244573425654
963058113216
1022111202220
119417219548
124350bb6750
132114bb8613
1410da84a432
158962974d0
hex525ee2bac

22111202220 has 96 divisors (see below), whose sum is σ = 63793728768. Its totient is φ = 5718097152.

The previous prime is 22111202219. The next prime is 22111202227. The reversal of 22111202220 is 2220211122.

It is a super-2 number, since 2×221112022202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22111202220.

It is not an unprimeable number, because it can be changed into a prime (22111202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665319 + ... + 697761.

It is an arithmetic number, because the mean of its divisors is an integer number (664518008).

Almost surely, 222111202220 is an apocalyptic number.

22111202220 is a gapful number since it is divisible by the number (20) 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 22111202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31896864384).

22111202220 is an abundant number, since it is smaller than the sum of its proper divisors (41682526548).

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

22111202220 is a wasteful number, since it uses less digits than its factorization.

22111202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32799 (or 32797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22111202220 its reverse (2220211122), we get a palindrome (24331413342).

The spelling of 22111202220 in words is "twenty-two billion, one hundred eleven million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 307 370 444 555 614 740 921 1110 1228 1535 1842 2220 3070 3684 4605 6140 9210 11359 18420 22718 32443 34077 45436 56795 64886 68154 97329 113590 129772 136308 162215 170385 194658 227180 324430 340770 389316 486645 648860 681540 973290 1200391 1946580 2400782 3601173 4801564 6001955 7202346 9960001 12003910 14404692 18005865 19920002 24007820 29880003 36011730 39840004 49800005 59760006 72023460 99600010 119520012 149400015 199200020 298800030 368520037 597600060 737040074 1105560111 1474080148 1842600185 2211120222 3685200370 4422240444 5527800555 7370400740 11055601110 22111202220