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2212667521 = 17227672
BaseRepresentation
bin1000001111100010…
…1010000010000001
312201012112011012221
42003320222002001
514012420330041
61003321051041
7105555235501
oct20370520201
95635464187
102212667521
11a35aa1949
12519026a81
1329354842c
1416dc17a01
15ce3c02d1
hex83e2a081

2212667521 has 9 divisors (see below), whose sum is σ = 2351330499. Its totient is φ = 2081757984.

The previous prime is 2212667503. The next prime is 2212667531. The reversal of 2212667521 is 1257662122.

The square root of 2212667521 is 47039.

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., 1722665025 + 490002496 = 41505^2 + 22136^2 .

It is not a de Polignac number, because 2212667521 - 211 = 2212665473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2212667531) 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 8 ways as a sum of consecutive naturals, for example, 798280 + ... + 801046.

Almost surely, 22212667521 is an apocalyptic number.

2212667521 is the 47039-th square number.

2212667521 is the 23520-th centered octagonal number.

It is an amenable number.

2212667521 is a deficient number, since it is larger than the sum of its proper divisors (138662978).

2212667521 is an frugal number, since it uses more digits than its factorization.

2212667521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 2784 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The cubic root of 2212667521 is about 1303.0829239566.

The spelling of 2212667521 in words is "two billion, two hundred twelve million, six hundred sixty-seven thousand, five hundred twenty-one".

Divisors: 1 17 289 2767 47039 799663 7656289 130156913 2212667521