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2201332020 = 2235193752189
BaseRepresentation
bin1000001100110101…
…1010100100110100
312200102012020211120
42003031122210310
514002020111040
61002234103540
7105360004416
oct20315324464
95612166746
102201332020
11a2a65a368
1251527abb0
132910a9a34
1416c5069b6
15cd3d17d0
hex8335a934

2201332020 has 96 divisors (see below), whose sum is σ = 6663619200. Its totient is φ = 541085184.

The previous prime is 2201331961. The next prime is 2201332027. The reversal of 2201332020 is 202331022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201332027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16086 + ... + 68274.

It is an arithmetic number, because the mean of its divisors is an integer number (69412700).

Almost surely, 22201332020 is an apocalyptic number.

2201332020 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 2201332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331809600).

2201332020 is an abundant number, since it is smaller than the sum of its proper divisors (4462287180).

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

2201332020 is a wasteful number, since it uses less digits than its factorization.

2201332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52257 (or 52255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2201332020 is about 46918.3548304925. The cubic root of 2201332020 is about 1300.8538808360.

Adding to 2201332020 its reverse (202331022), we get a palindrome (2403663042).

The spelling of 2201332020 in words is "two billion, two hundred one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 42180 52189 104378 156567 208756 260945 313134 521890 626268 782835 991591 1043780 1565670 1930993 1983182 2974773 3131340 3861986 3966364 4957955 5792979 5949546 7723972 9654965 9915910 11585958 11899092 14873865 19309930 19831820 23171916 28964895 29747730 36688867 38619860 57929790 59495460 73377734 110066601 115859580 146755468 183444335 220133202 366888670 440266404 550333005 733777340 1100666010 2201332020