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2201357620 = 22571110114153
BaseRepresentation
bin1000001100110110…
…0000110100110100
312200102020112221201
42003031200310310
514002021420440
61002234422244
7105360142150
oct20315406464
95612215851
102201357620
11a2a677620
12515291984
132910b8597
1416c512060
15cd3d919a
hex83360d34

2201357620 has 96 divisors (see below), whose sum is σ = 5821030656. Its totient is φ = 679296000.

The previous prime is 2201357617. The next prime is 2201357699. The reversal of 2201357620 is 267531022.

It is a super-2 number, since 2×22013576202 = 9691950742264128800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148464 + ... + 162616.

It is an arithmetic number, because the mean of its divisors is an integer number (60635736).

Almost surely, 22201357620 is an apocalyptic number.

2201357620 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 2201357620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910515328).

2201357620 is an abundant number, since it is smaller than the sum of its proper divisors (3619673036).

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

2201357620 is a wasteful number, since it uses less digits than its factorization.

2201357620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14279 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2201357620 is about 46918.6276440392. The cubic root of 2201357620 is about 1300.8589234996.

Adding to 2201357620 its reverse (267531022), we get a palindrome (2468888642).

The spelling of 2201357620 in words is "two billion, two hundred one million, three hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 14153 15554 22220 28306 31108 38885 56612 70765 77770 99071 141530 155540 155683 198142 283060 311366 396284 495355 622732 778415 990710 1089781 1429453 1556830 1981420 2179562 2858906 3113660 4359124 5448905 5717812 7147265 10006171 10897810 14294530 15723983 20012342 21795620 28589060 31447966 40024684 50030855 62895932 78619915 100061710 110067881 157239830 200123420 220135762 314479660 440271524 550339405 1100678810 2201357620