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2201110020 = 22325173719441
BaseRepresentation
bin1000001100110010…
…0100011000000100
312200101202222022100
42003030210120010
514001441010040
61002225232100
7105355061244
oct20314443004
95611688270
102201110020
11a2a51859a
12515192630
1329102c985
1416c489b24
15cd38ab30
hex83324604

2201110020 has 144 divisors (see below), whose sum is σ = 7260887088. Its totient is φ = 537477120.

The previous prime is 2201109973. The next prime is 2201110027. The reversal of 2201110020 is 200111022.

It can be written as a sum of positive squares in 8 ways, for example, as 57790404 + 2143319616 = 7602^2 + 46296^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2201109984 and 2201110011.

It is not an unprimeable number, because it can be changed into a prime (2201110027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103500 + ... + 122940.

It is an arithmetic number, because the mean of its divisors is an integer number (50422827).

Almost surely, 22201110020 is an apocalyptic number.

2201110020 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 2201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630443544).

2201110020 is an abundant number, since it is smaller than the sum of its proper divisors (5059777068).

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

2201110020 is a wasteful number, since it uses less digits than its factorization.

2201110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19510 (or 19505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201110020 is about 46915.9889589892. The cubic root of 2201110020 is about 1300.8101498484.

Adding to 2201110020 its reverse (200111022), we get a palindrome (2401221042).

The spelling of 2201110020 in words is "two billion, two hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 19441 22644 28305 37740 38882 56610 58323 77764 97205 113220 116646 174969 194410 233292 291615 330497 349938 388820 583230 660994 699876 719317 874845 991491 1166460 1321988 1438634 1652485 1749690 1982982 2157951 2877268 2974473 3304970 3499380 3596585 3965964 4315902 4957455 5948946 6473853 6609940 7193170 8631804 9914910 10789755 11897892 12228389 12947706 14386340 14872365 19829820 21579510 24456778 25895412 29744730 32369265 36685167 43159020 48913556 59489460 61141945 64738530 73370334 110055501 122283890 129477060 146740668 183425835 220111002 244567780 366851670 440222004 550277505 733703340 1100555010 2201110020