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2200353141 = 37538997229
BaseRepresentation
bin1000001100100110…
…1011100101110101
312200100100112001210
42003021223211311
514001242300031
61002201112033
7105345456510
oct20311534565
95610315053
102200353141
11a2a050978
12514a88619
13290b2630c
1416c32dd77
15cd28b746
hex8326b975

2200353141 has 64 divisors (see below), whose sum is σ = 3505420800. Its totient is φ = 1201913856.

The previous prime is 2200353011. The next prime is 2200353187. The reversal of 2200353141 is 1413530022.

2200353141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2200353141 - 29 = 2200352629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200353541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9608415 + ... + 9608643.

It is an arithmetic number, because the mean of its divisors is an integer number (54772200).

Almost surely, 22200353141 is an apocalyptic number.

2200353141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2200353141 is a deficient number, since it is larger than the sum of its proper divisors (1305067659).

2200353141 is a wasteful number, since it uses less digits than its factorization.

2200353141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2200353141 is about 46907.9219428872. The cubic root of 2200353141 is about 1300.6610328501.

Adding to 2200353141 its reverse (1413530022), we get a palindrome (3613883163).

The spelling of 2200353141 in words is "two billion, two hundred million, three hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 3 7 21 53 89 97 159 229 267 291 371 623 679 687 1113 1603 1869 2037 4717 4809 5141 8633 12137 14151 15423 20381 22213 25899 33019 35987 36411 60431 61143 66639 84959 99057 107961 142667 155491 181293 254877 428001 457549 466473 1080193 1177289 1372647 1976957 3202843 3240579 3531867 5930871 7561351 8241023 9608529 13838699 22684053 24723069 41516097 104778721 314336163 733451047 2200353141