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2200641921 = 321928232
BaseRepresentation
bin1000001100101011…
…0010000110000001
312200100220012012100
42003022302012001
514001331020141
61002211221013
7105351101442
oct20312620601
95610805170
102200641921
11a2a228935
12514ba7769
13290bc78aa
1416c3a72c9
15cd2e70b6
hex832b2181

2200641921 has 27 divisors (see below), whose sum is σ = 3358891809. Its totient is φ = 1388190312.

The previous prime is 2200641901. The next prime is 2200641923. The reversal of 2200641921 is 1291460022.

The square root of 2200641921 is 46911.

It is a perfect power (a square), and thus also a powerful number.

2200641921 is a `hidden beast` number, since 220 + 0 + 6 + 419 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2200641921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2200641923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2673516 + ... + 2674338.

Almost surely, 22200641921 is an apocalyptic number.

2200641921 is the 46911-st square number.

2200641921 is the 23456-th centered octagonal number.

It is an amenable number.

2200641921 is a deficient number, since it is larger than the sum of its proper divisors (1158249888).

2200641921 is an frugal number, since it uses more digits than its factorization.

2200641921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 2200641921 is about 1300.7179310597.

The spelling of 2200641921 in words is "two billion, two hundred million, six hundred forty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 19 57 171 361 823 1083 2469 3249 7407 15637 46911 140733 297103 677329 891309 2031987 2673927 6095961 12869251 38607753 115823259 244515769 733547307 2200641921