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221376837049 = 263217892
BaseRepresentation
bin1100111000101100010…
…1100111010110111001
3210011102010120112002221
43032023011213112321
512111334432241144
6245411001524041
721664632032044
oct3161305472671
9704363515087
10221376837049
11859814a9285
1236aa27a3621
1317b50025594
14aa011a9c5b
155b5a00bd84
hex338b1675b9

221376837049 has 9 divisors (see below), whose sum is σ = 222346059663. Its totient is φ = 220411827192.

The previous prime is 221376837041. The next prime is 221376837053. The reversal of 221376837049 is 940738673122.

The square root of 221376837049 is 470507.

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

It can be written as a sum of positive squares in only one way, i.e., 209175425449 + 12201411600 = 457357^2 + 110460^2 .

It is not a de Polignac number, because 221376837049 - 23 = 221376837041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221376836987 and 221376837005.

It is not an unprimeable number, because it can be changed into a prime (221376837041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123742447 + ... + 123744235.

Almost surely, 2221376837049 is an apocalyptic number.

221376837049 is the 470507-th square number.

221376837049 is the 235254-th centered octagonal number.

It is an amenable number.

221376837049 is a deficient number, since it is larger than the sum of its proper divisors (969222614).

221376837049 is an frugal number, since it uses more digits than its factorization.

221376837049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 221376837049 in words is "two hundred twenty-one billion, three hundred seventy-six million, eight hundred thirty-seven thousand, forty-nine".

Divisors: 1 263 1789 69169 470507 3200521 123743341 841737023 221376837049