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2196140769 = 344121272
BaseRepresentation
bin1000001011100110…
…0111001011100001
312200001102111210000
42002321213023201
513444203001034
61001530530213
7105264613524
oct20271471341
95601374700
102196140769
11a27734079
12513596969
1328ccacba4
1416b954bbb
15ccc08599
hex82e672e1

2196140769 has 45 divisors (see below), whose sum is σ = 3389308131. Its totient is φ = 1417137120.

The previous prime is 2196140761. The next prime is 2196140777. The reversal of 2196140769 is 9670416912.

The square root of 2196140769 is 46863.

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

2196140769 is a `hidden beast` number, since 21 + 9 + 614 + 0 + 7 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (2196140761) and next prime (2196140777).

It can be written as a sum of positive squares in only one way, i.e., 105822369 + 2090318400 = 10287^2 + 45720^2 .

It is not a de Polignac number, because 2196140769 - 23 = 2196140761 is a prime.

It is a super-2 number, since 2×21961407692 = 9646068554527822722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2196140761) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17292384 + ... + 17292510.

Almost surely, 22196140769 is an apocalyptic number.

2196140769 is the 46863-rd square number.

2196140769 is the 23432-nd centered octagonal number.

It is an amenable number.

2196140769 is a deficient number, since it is larger than the sum of its proper divisors (1193167362).

2196140769 is an frugal number, since it uses more digits than its factorization.

2196140769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The cubic root of 2196140769 is about 1299.8305043319.

The spelling of 2196140769 in words is "two billion, one hundred ninety-six million, one hundred forty thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 41 81 123 127 369 381 1107 1143 1681 3321 3429 5043 5207 10287 15129 15621 16129 45387 46863 48387 136161 140589 145161 213487 421767 435483 640461 661289 1306449 1921383 1983867 5764149 5951601 17292447 17854803 27112849 53564409 81338547 244015641 732046923 2196140769