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22201331100 = 22352135692649
BaseRepresentation
bin10100101011010011…
…010110110110011100
32010022020201110211020
4110223103112312130
5330432020043400
614111003324140
71414112125554
oct245323266634
963266643736
1022201331100
119463088723
124377220650
13212a784110
1411087cc164
1589e14c2a0
hex52b4d6d9c

22201331100 has 72 divisors (see below), whose sum is σ = 69177082800. Its totient is φ = 5464942080.

The previous prime is 22201331099. The next prime is 22201331143. The reversal of 22201331100 is 113310222.

It is a super-2 number, since 2×222013311002 (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 22201331100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2842425 + ... + 2850224.

Almost surely, 222201331100 is an apocalyptic number.

22201331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201331100 is an abundant number, since it is smaller than the sum of its proper divisors (46975751700).

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

22201331100 is a wasteful number, since it uses less digits than its factorization.

22201331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692679 (or 5692672 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22201331100 its reverse (113310222), we get a palindrome (22314641322).

The spelling of 22201331100 in words is "twenty-two billion, two hundred one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5692649 11385298 17077947 22770596 28463245 34155894 56926490 68311788 74004437 85389735 113852980 142316225 148008874 170779470 222013311 284632450 296017748 341558940 370022185 426948675 444026622 569264900 740044370 853897350 888053244 1110066555 1480088740 1707794700 1850110925 2220133110 3700221850 4440266220 5550332775 7400443700 11100665550 22201331100