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227129449561 = 7210326612
BaseRepresentation
bin1101001110000111111…
…0000101110001011001
3210201021001010111221121
43103201332011301121
512210130114341221
6252201500205241
722260323316100
oct3234176056131
9721231114847
10227129449561
11883637201a3
1238029239821
1318558a84b01
14adc91bd037
155d95079a41
hex34e1f85c59

227129449561 has 27 divisors (see below), whose sum is σ = 267206120703. Its totient is φ = 192500597520.

The previous prime is 227129449499. The next prime is 227129449669. The reversal of 227129449561 is 165944921722.

The square root of 227129449561 is 476581.

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., 180343759561 + 46785690000 = 424669^2 + 216300^2 .

It is not a de Polignac number, because 227129449561 - 29 = 227129449049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 227129449499 and 227129449508.

It is not an unprimeable number, because it can be changed into a prime (227129449861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 343614571 + ... + 343615231.

It is an arithmetic number, because the mean of its divisors is an integer number (9896522989).

Almost surely, 2227129449561 is an apocalyptic number.

227129449561 is the 476581-st square number.

227129449561 is the 238291-st centered octagonal number.

It is an amenable number.

227129449561 is a deficient number, since it is larger than the sum of its proper divisors (40076671142).

227129449561 is an frugal number, since it uses more digits than its factorization.

227129449561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 227129449561 in words is "two hundred twenty-seven billion, one hundred twenty-nine million, four hundred forty-nine thousand, five hundred sixty-one".

Divisors: 1 7 49 103 661 721 4627 5047 10609 32389 68083 74263 436921 476581 519841 3058447 3336067 7012549 21409129 45002863 49087843 315020041 343614901 2205140287 4635294889 32447064223 227129449561