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172213129 = 11211932
BaseRepresentation
bin10100100001111…
…00001110001001
3110000001100000001
422100330032021
5323041310004
625031043001
74160534044
oct1220741611
9400040001
10172213129
1189234300
1249810461
13298a877a
1418c2bc5b
15101bb1a4
hexa43c389

172213129 has 9 divisors (see below), whose sum is σ = 189450919. Its totient is φ = 156426160.

The previous prime is 172213117. The next prime is 172213159. The reversal of 172213129 is 921312271.

The square root of 172213129 is 13123.

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., 88454025 + 83759104 = 9405^2 + 9152^2 .

It is not a de Polignac number, because 172213129 - 219 = 171688841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172213097 and 172213106.

It is not an unprimeable number, because it can be changed into a prime (172213109) 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, 143757 + ... + 144949.

Almost surely, 2172213129 is an apocalyptic number.

172213129 is the 13123-rd square number.

172213129 is the 6562-nd centered octagonal number.

It is an amenable number.

172213129 is a deficient number, since it is larger than the sum of its proper divisors (17237790).

172213129 is an frugal number, since it uses more digits than its factorization.

172213129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 1204 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The cubic root of 172213129 is about 556.3593860711.

The spelling of 172213129 in words is "one hundred seventy-two million, two hundred thirteen thousand, one hundred twenty-nine".

Divisors: 1 11 121 1193 13123 144353 1423249 15655739 172213129